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Finding the Fourth Proportional to 65,166, 97,750.14 and 25,722.84

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Solution

The fourth proportional to 65,166, 97,750.14 and 25,722.84 is: 38,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,166 : 97,750.14 = 25,722.84 : x
  2. Step 2: Convert to fraction form
    65,166/97,750.14 = 25,722.84/x
  3. Step 3: Cross multiply
    65,166x = 97,750.14 × 25,722.84
  4. Step 4: Simplify right side
    65,166x = 2,514,411,211.20
  5. Step 5: Solve for x
    x = 2,514,411,211.20/65,166
  6. Step 6: Final answer
    x = 38,584.71

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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.