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Finding the Fourth Proportional to 29,454.57, 40,631.90 and 17,509.50

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Solution

The fourth proportional to 29,454.57, 40,631.90 and 17,509.50 is: 24,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454.57 : 40,631.90 = 17,509.50 : x
  2. Step 2: Convert to fraction form
    29,454.57/40,631.90 = 17,509.50/x
  3. Step 3: Cross multiply
    29,454.57x = 40,631.90 × 17,509.50
  4. Step 4: Simplify right side
    29,454.57x = 711,444,165.50
  5. Step 5: Solve for x
    x = 711,444,165.50/29,454.57
  6. Step 6: Final answer
    x = 24,153.95

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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.