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Finding the Fourth Proportional to 29,462.31, 40,657.71 and 16,033.58

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Solution

The fourth proportional to 29,462.31, 40,657.71 and 16,033.58 is: 22,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.31 : 40,657.71 = 16,033.58 : x
  2. Step 2: Convert to fraction form
    29,462.31/40,657.71 = 16,033.58/x
  3. Step 3: Cross multiply
    29,462.31x = 40,657.71 × 16,033.58
  4. Step 4: Simplify right side
    29,462.31x = 651,888,655.21
  5. Step 5: Solve for x
    x = 651,888,655.21/29,462.31
  6. Step 6: Final answer
    x = 22,126.19

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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.