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Finding the Fourth Proportional to 42,434.50, 63,651.75 and 14,732.50

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Solution

The fourth proportional to 42,434.50, 63,651.75 and 14,732.50 is: 22,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434.50 : 63,651.75 = 14,732.50 : x
  2. Step 2: Convert to fraction form
    42,434.50/63,651.75 = 14,732.50/x
  3. Step 3: Cross multiply
    42,434.50x = 63,651.75 × 14,732.50
  4. Step 4: Simplify right side
    42,434.50x = 937,749,406.88
  5. Step 5: Solve for x
    x = 937,749,406.88/42,434.50
  6. Step 6: Final answer
    x = 22,098.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.