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Finding the Fourth Proportional to 65,437.70, 97,962.62 and 40,397.22

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Solution

The fourth proportional to 65,437.70, 97,962.62 and 40,397.22 is: 60,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.70 : 97,962.62 = 40,397.22 : x
  2. Step 2: Convert to fraction form
    65,437.70/97,962.62 = 40,397.22/x
  3. Step 3: Cross multiply
    65,437.70x = 97,962.62 × 40,397.22
  4. Step 4: Simplify right side
    65,437.70x = 3,957,417,309.93
  5. Step 5: Solve for x
    x = 3,957,417,309.93/65,437.70
  6. Step 6: Final answer
    x = 60,476.11

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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.