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Finding the Fourth Proportional to 65,051.20, 89,766 and 38,194.88

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Solution

The fourth proportional to 65,051.20, 89,766 and 38,194.88 is: 52,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.20 : 89,766 = 38,194.88 : x
  2. Step 2: Convert to fraction form
    65,051.20/89,766 = 38,194.88/x
  3. Step 3: Cross multiply
    65,051.20x = 89,766 × 38,194.88
  4. Step 4: Simplify right side
    65,051.20x = 3,428,601,598.08
  5. Step 5: Solve for x
    x = 3,428,601,598.08/65,051.20
  6. Step 6: Final answer
    x = 52,706.20

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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.