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Finding the Fourth Proportional to 42,324.48, 63,472.32 and 14,616

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Solution

The fourth proportional to 42,324.48, 63,472.32 and 14,616 is: 21,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324.48 : 63,472.32 = 14,616 : x
  2. Step 2: Convert to fraction form
    42,324.48/63,472.32 = 14,616/x
  3. Step 3: Cross multiply
    42,324.48x = 63,472.32 × 14,616
  4. Step 4: Simplify right side
    42,324.48x = 927,711,429.12
  5. Step 5: Solve for x
    x = 927,711,429.12/42,324.48
  6. Step 6: Final answer
    x = 21,919.03

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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.