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Finding the Fourth Proportional to 42,172.74, 63,238.46 and 14,083.16

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Solution

The fourth proportional to 42,172.74, 63,238.46 and 14,083.16 is: 21,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,172.74 : 63,238.46 = 14,083.16 : x
  2. Step 2: Convert to fraction form
    42,172.74/63,238.46 = 14,083.16/x
  3. Step 3: Cross multiply
    42,172.74x = 63,238.46 × 14,083.16
  4. Step 4: Simplify right side
    42,172.74x = 890,596,963.73
  5. Step 5: Solve for x
    x = 890,596,963.73/42,172.74
  6. Step 6: Final answer
    x = 21,117.83

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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.