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Finding the Fourth Proportional to 65,193.68, 97,802.68 and 29,657.52

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Solution

The fourth proportional to 65,193.68, 97,802.68 and 29,657.52 is: 44,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.68 : 97,802.68 = 29,657.52 : x
  2. Step 2: Convert to fraction form
    65,193.68/97,802.68 = 29,657.52/x
  3. Step 3: Cross multiply
    65,193.68x = 97,802.68 × 29,657.52
  4. Step 4: Simplify right side
    65,193.68x = 2,900,584,938.15
  5. Step 5: Solve for x
    x = 2,900,584,938.15/65,193.68
  6. Step 6: Final answer
    x = 44,491.81

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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.