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Finding the Fourth Proportional to 65,367.40, 97,820.70 and 59,837.80

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Solution

The fourth proportional to 65,367.40, 97,820.70 and 59,837.80 is: 89,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.40 : 97,820.70 = 59,837.80 : x
  2. Step 2: Convert to fraction form
    65,367.40/97,820.70 = 59,837.80/x
  3. Step 3: Cross multiply
    65,367.40x = 97,820.70 × 59,837.80
  4. Step 4: Simplify right side
    65,367.40x = 5,853,375,482.46
  5. Step 5: Solve for x
    x = 5,853,375,482.46/65,367.40
  6. Step 6: Final answer
    x = 89,545.79

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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.