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Finding the Fourth Proportional to 65,152.66, 97,749.75 and 29,123.55

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Solution

The fourth proportional to 65,152.66, 97,749.75 and 29,123.55 is: 43,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.66 : 97,749.75 = 29,123.55 : x
  2. Step 2: Convert to fraction form
    65,152.66/97,749.75 = 29,123.55/x
  3. Step 3: Cross multiply
    65,152.66x = 97,749.75 × 29,123.55
  4. Step 4: Simplify right side
    65,152.66x = 2,846,819,731.61
  5. Step 5: Solve for x
    x = 2,846,819,731.61/65,152.66
  6. Step 6: Final answer
    x = 43,694.60

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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.