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Finding the Fourth Proportional to 65,097.18, 97,657.56 and 29,559

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Solution

The fourth proportional to 65,097.18, 97,657.56 and 29,559 is: 44,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.18 : 97,657.56 = 29,559 : x
  2. Step 2: Convert to fraction form
    65,097.18/97,657.56 = 29,559/x
  3. Step 3: Cross multiply
    65,097.18x = 97,657.56 × 29,559
  4. Step 4: Simplify right side
    65,097.18x = 2,886,659,816.04
  5. Step 5: Solve for x
    x = 2,886,659,816.04/65,097.18
  6. Step 6: Final answer
    x = 44,343.85

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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.