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Finding the Fourth Proportional to 42,038.20, 63,057.03 and 12,456.19

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Solution

The fourth proportional to 42,038.20, 63,057.03 and 12,456.19 is: 18,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038.20 : 63,057.03 = 12,456.19 : x
  2. Step 2: Convert to fraction form
    42,038.20/63,057.03 = 12,456.19/x
  3. Step 3: Cross multiply
    42,038.20x = 63,057.03 × 12,456.19
  4. Step 4: Simplify right side
    42,038.20x = 785,450,346.52
  5. Step 5: Solve for x
    x = 785,450,346.52/42,038.20
  6. Step 6: Final answer
    x = 18,684.20

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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.