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Finding the Fourth Proportional to 95,523.84, 131,788.80 and 65,664

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Solution

The fourth proportional to 95,523.84, 131,788.80 and 65,664 is: 90,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,523.84 : 131,788.80 = 65,664 : x
  2. Step 2: Convert to fraction form
    95,523.84/131,788.80 = 65,664/x
  3. Step 3: Cross multiply
    95,523.84x = 131,788.80 × 65,664
  4. Step 4: Simplify right side
    95,523.84x = 8,653,779,763.20
  5. Step 5: Solve for x
    x = 8,653,779,763.20/95,523.84
  6. Step 6: Final answer
    x = 90,592.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.