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Finding the Fourth Proportional to 42,147.54, 63,200.05 and 14,057.65

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Solution

The fourth proportional to 42,147.54, 63,200.05 and 14,057.65 is: 21,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147.54 : 63,200.05 = 14,057.65 : x
  2. Step 2: Convert to fraction form
    42,147.54/63,200.05 = 14,057.65/x
  3. Step 3: Cross multiply
    42,147.54x = 63,200.05 × 14,057.65
  4. Step 4: Simplify right side
    42,147.54x = 888,444,226.74
  5. Step 5: Solve for x
    x = 888,444,226.74/42,147.54
  6. Step 6: Final answer
    x = 21,079.39

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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.