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Finding the Fourth Proportional to 29,356.29, 40,511.75 and 17,419.32

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Solution

The fourth proportional to 29,356.29, 40,511.75 and 17,419.32 is: 24,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356.29 : 40,511.75 = 17,419.32 : x
  2. Step 2: Convert to fraction form
    29,356.29/40,511.75 = 17,419.32/x
  3. Step 3: Cross multiply
    29,356.29x = 40,511.75 × 17,419.32
  4. Step 4: Simplify right side
    29,356.29x = 705,687,049.91
  5. Step 5: Solve for x
    x = 705,687,049.91/29,356.29
  6. Step 6: Final answer
    x = 24,038.70

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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.