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Finding the Fourth Proportional to 78,159.71, 117,255.97 and 25,565.09

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Solution

The fourth proportional to 78,159.71, 117,255.97 and 25,565.09 is: 38,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.71 : 117,255.97 = 25,565.09 : x
  2. Step 2: Convert to fraction form
    78,159.71/117,255.97 = 25,565.09/x
  3. Step 3: Cross multiply
    78,159.71x = 117,255.97 × 25,565.09
  4. Step 4: Simplify right side
    78,159.71x = 2,997,659,426.09
  5. Step 5: Solve for x
    x = 2,997,659,426.09/78,159.71
  6. Step 6: Final answer
    x = 38,353.00

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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.