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Finding the Fourth Proportional to 61,542.26, 84,928.32 and 34,685.76

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Solution

The fourth proportional to 61,542.26, 84,928.32 and 34,685.76 is: 47,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542.26 : 84,928.32 = 34,685.76 : x
  2. Step 2: Convert to fraction form
    61,542.26/84,928.32 = 34,685.76/x
  3. Step 3: Cross multiply
    61,542.26x = 84,928.32 × 34,685.76
  4. Step 4: Simplify right side
    61,542.26x = 2,945,803,324.72
  5. Step 5: Solve for x
    x = 2,945,803,324.72/61,542.26
  6. Step 6: Final answer
    x = 47,866.35

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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.