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Finding the Fourth Proportional to 20,575.20, 30,848.40 and 8,090.40

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Solution

The fourth proportional to 20,575.20, 30,848.40 and 8,090.40 is: 12,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.20 : 30,848.40 = 8,090.40 : x
  2. Step 2: Convert to fraction form
    20,575.20/30,848.40 = 8,090.40/x
  3. Step 3: Cross multiply
    20,575.20x = 30,848.40 × 8,090.40
  4. Step 4: Simplify right side
    20,575.20x = 249,575,895.36
  5. Step 5: Solve for x
    x = 249,575,895.36/20,575.20
  6. Step 6: Final answer
    x = 12,129.94

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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.