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Finding the Fourth Proportional to 30,647.20, 45,970.80 and 10,926.40

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Solution

The fourth proportional to 30,647.20, 45,970.80 and 10,926.40 is: 16,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.20 : 45,970.80 = 10,926.40 : x
  2. Step 2: Convert to fraction form
    30,647.20/45,970.80 = 10,926.40/x
  3. Step 3: Cross multiply
    30,647.20x = 45,970.80 × 10,926.40
  4. Step 4: Simplify right side
    30,647.20x = 502,295,349.12
  5. Step 5: Solve for x
    x = 502,295,349.12/30,647.20
  6. Step 6: Final answer
    x = 16,389.60

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1.5x scale

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.