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Finding the Fourth Proportional to 29,032.24, 40,071.90 and 16,464.28

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Solution

The fourth proportional to 29,032.24, 40,071.90 and 16,464.28 is: 22,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032.24 : 40,071.90 = 16,464.28 : x
  2. Step 2: Convert to fraction form
    29,032.24/40,071.90 = 16,464.28/x
  3. Step 3: Cross multiply
    29,032.24x = 40,071.90 × 16,464.28
  4. Step 4: Simplify right side
    29,032.24x = 659,754,981.73
  5. Step 5: Solve for x
    x = 659,754,981.73/29,032.24
  6. Step 6: Final answer
    x = 22,724.91

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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.