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Finding the Fourth Proportional to 65,041.67, 97,569 and 17,657.52

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Solution

The fourth proportional to 65,041.67, 97,569 and 17,657.52 is: 26,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.67 : 97,569 = 17,657.52 : x
  2. Step 2: Convert to fraction form
    65,041.67/97,569 = 17,657.52/x
  3. Step 3: Cross multiply
    65,041.67x = 97,569 × 17,657.52
  4. Step 4: Simplify right side
    65,041.67x = 1,722,826,568.88
  5. Step 5: Solve for x
    x = 1,722,826,568.88/65,041.67
  6. Step 6: Final answer
    x = 26,488.05

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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.