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Finding the Fourth Proportional to 42,462.30, 63,693.68 and 12,880.16

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Solution

The fourth proportional to 42,462.30, 63,693.68 and 12,880.16 is: 19,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,462.30 : 63,693.68 = 12,880.16 : x
  2. Step 2: Convert to fraction form
    42,462.30/63,693.68 = 12,880.16/x
  3. Step 3: Cross multiply
    42,462.30x = 63,693.68 × 12,880.16
  4. Step 4: Simplify right side
    42,462.30x = 820,384,724.99
  5. Step 5: Solve for x
    x = 820,384,724.99/42,462.30
  6. Step 6: Final answer
    x = 19,320.31

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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.