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Finding the Fourth Proportional to 42,538.79, 63,814.02 and 14,451.30

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Solution

The fourth proportional to 42,538.79, 63,814.02 and 14,451.30 is: 21,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.79 : 63,814.02 = 14,451.30 : x
  2. Step 2: Convert to fraction form
    42,538.79/63,814.02 = 14,451.30/x
  3. Step 3: Cross multiply
    42,538.79x = 63,814.02 × 14,451.30
  4. Step 4: Simplify right side
    42,538.79x = 922,195,474.97
  5. Step 5: Solve for x
    x = 922,195,474.97/42,538.79
  6. Step 6: Final answer
    x = 21,678.93

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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.