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Finding the Fourth Proportional to 42,476.52, 63,713.34 and 12,893.16

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Solution

The fourth proportional to 42,476.52, 63,713.34 and 12,893.16 is: 19,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,476.52 : 63,713.34 = 12,893.16 : x
  2. Step 2: Convert to fraction form
    42,476.52/63,713.34 = 12,893.16/x
  3. Step 3: Cross multiply
    42,476.52x = 63,713.34 × 12,893.16
  4. Step 4: Simplify right side
    42,476.52x = 821,466,286.75
  5. Step 5: Solve for x
    x = 821,466,286.75/42,476.52
  6. Step 6: Final answer
    x = 19,339.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.