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Finding the Fourth Proportional to 30,646,543.60, 45,969,815.40 and 10,452,444.40

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Solution

The fourth proportional to 30,646,543.60, 45,969,815.40 and 10,452,444.40 is: 15,678,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,543.60 : 45,969,815.40 = 10,452,444.40 : x
  2. Step 2: Convert to fraction form
    30,646,543.60/45,969,815.40 = 10,452,444.40/x
  3. Step 3: Cross multiply
    30,646,543.60x = 45,969,815.40 × 10,452,444.40
  4. Step 4: Simplify right side
    30,646,543.60x = 480,496,939,546,763.75
  5. Step 5: Solve for x
    x = 480,496,939,546,763.75/30,646,543.60
  6. Step 6: Final answer
    x = 15,678,666.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.