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Finding the Fourth Proportional to 87,301, 120,475.38 and 47,557

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Solution

The fourth proportional to 87,301, 120,475.38 and 47,557 is: 65,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,301 : 120,475.38 = 47,557 : x
  2. Step 2: Convert to fraction form
    87,301/120,475.38 = 47,557/x
  3. Step 3: Cross multiply
    87,301x = 120,475.38 × 47,557
  4. Step 4: Simplify right side
    87,301x = 5,729,447,646.66
  5. Step 5: Solve for x
    x = 5,729,447,646.66/87,301
  6. Step 6: Final answer
    x = 65,628.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.