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Finding the Fourth Proportional to 42,470.24, 63,705.12 and 14,768

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Solution

The fourth proportional to 42,470.24, 63,705.12 and 14,768 is: 22,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470.24 : 63,705.12 = 14,768 : x
  2. Step 2: Convert to fraction form
    42,470.24/63,705.12 = 14,768/x
  3. Step 3: Cross multiply
    42,470.24x = 63,705.12 × 14,768
  4. Step 4: Simplify right side
    42,470.24x = 940,797,212.16
  5. Step 5: Solve for x
    x = 940,797,212.16/42,470.24
  6. Step 6: Final answer
    x = 22,151.92

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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.