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Finding the Fourth Proportional to 65,160.49, 97,748.78 and 23,031.88

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Solution

The fourth proportional to 65,160.49, 97,748.78 and 23,031.88 is: 34,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160.49 : 97,748.78 = 23,031.88 : x
  2. Step 2: Convert to fraction form
    65,160.49/97,748.78 = 23,031.88/x
  3. Step 3: Cross multiply
    65,160.49x = 97,748.78 × 23,031.88
  4. Step 4: Simplify right side
    65,160.49x = 2,251,338,114.93
  5. Step 5: Solve for x
    x = 2,251,338,114.93/65,160.49
  6. Step 6: Final answer
    x = 34,550.66

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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.