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Finding the Fourth Proportional to 42,001.34, 63,002.81 and 12,419.12

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Solution

The fourth proportional to 42,001.34, 63,002.81 and 12,419.12 is: 18,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.34 : 63,002.81 = 12,419.12 : x
  2. Step 2: Convert to fraction form
    42,001.34/63,002.81 = 12,419.12/x
  3. Step 3: Cross multiply
    42,001.34x = 63,002.81 × 12,419.12
  4. Step 4: Simplify right side
    42,001.34x = 782,439,646.28
  5. Step 5: Solve for x
    x = 782,439,646.28/42,001.34
  6. Step 6: Final answer
    x = 18,628.92

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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.