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Finding the Fourth Proportional to 61,147.34, 84,269.07 and 47,697.29

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Solution

The fourth proportional to 61,147.34, 84,269.07 and 47,697.29 is: 65,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.34 : 84,269.07 = 47,697.29 : x
  2. Step 2: Convert to fraction form
    61,147.34/84,269.07 = 47,697.29/x
  3. Step 3: Cross multiply
    61,147.34x = 84,269.07 × 47,697.29
  4. Step 4: Simplify right side
    61,147.34x = 4,019,406,480.49
  5. Step 5: Solve for x
    x = 4,019,406,480.49/61,147.34
  6. Step 6: Final answer
    x = 65,733.13

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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.