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Finding the Fourth Proportional to 29,171.64, 40,231.98 and 24,656.16

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Solution

The fourth proportional to 29,171.64, 40,231.98 and 24,656.16 is: 34,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,171.64 : 40,231.98 = 24,656.16 : x
  2. Step 2: Convert to fraction form
    29,171.64/40,231.98 = 24,656.16/x
  3. Step 3: Cross multiply
    29,171.64x = 40,231.98 × 24,656.16
  4. Step 4: Simplify right side
    29,171.64x = 991,966,136.00
  5. Step 5: Solve for x
    x = 991,966,136.00/29,171.64
  6. Step 6: Final answer
    x = 34,004.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.