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Finding the Fourth Proportional to 29,712.42, 44,564.88 and 9,720.24

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Solution

The fourth proportional to 29,712.42, 44,564.88 and 9,720.24 is: 14,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.42 : 44,564.88 = 9,720.24 : x
  2. Step 2: Convert to fraction form
    29,712.42/44,564.88 = 9,720.24/x
  3. Step 3: Cross multiply
    29,712.42x = 44,564.88 × 9,720.24
  4. Step 4: Simplify right side
    29,712.42x = 433,181,329.17
  5. Step 5: Solve for x
    x = 433,181,329.17/29,712.42
  6. Step 6: Final answer
    x = 14,579.13

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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.