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Finding the Fourth Proportional to 30,737.29, 42,421.50 and 17,311.17

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Solution

The fourth proportional to 30,737.29, 42,421.50 and 17,311.17 is: 23,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.29 : 42,421.50 = 17,311.17 : x
  2. Step 2: Convert to fraction form
    30,737.29/42,421.50 = 17,311.17/x
  3. Step 3: Cross multiply
    30,737.29x = 42,421.50 × 17,311.17
  4. Step 4: Simplify right side
    30,737.29x = 734,365,798.16
  5. Step 5: Solve for x
    x = 734,365,798.16/30,737.29
  6. Step 6: Final answer
    x = 23,891.69

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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.