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Finding the Fourth Proportional to 42,531.90, 63,803.07 and 14,456.58

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Solution

The fourth proportional to 42,531.90, 63,803.07 and 14,456.58 is: 21,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531.90 : 63,803.07 = 14,456.58 : x
  2. Step 2: Convert to fraction form
    42,531.90/63,803.07 = 14,456.58/x
  3. Step 3: Cross multiply
    42,531.90x = 63,803.07 × 14,456.58
  4. Step 4: Simplify right side
    42,531.90x = 922,374,185.70
  5. Step 5: Solve for x
    x = 922,374,185.70/42,531.90
  6. Step 6: Final answer
    x = 21,686.64

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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.