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Finding the Fourth Proportional to 65,151.66, 97,748.25 and 29,122.55

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Solution

The fourth proportional to 65,151.66, 97,748.25 and 29,122.55 is: 43,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.66 : 97,748.25 = 29,122.55 : x
  2. Step 2: Convert to fraction form
    65,151.66/97,748.25 = 29,122.55/x
  3. Step 3: Cross multiply
    65,151.66x = 97,748.25 × 29,122.55
  4. Step 4: Simplify right side
    65,151.66x = 2,846,678,298.04
  5. Step 5: Solve for x
    x = 2,846,678,298.04/65,151.66
  6. Step 6: Final answer
    x = 43,693.10

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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.