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Finding the Fourth Proportional to 61,470.80, 84,828.76 and 34,613.22

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Solution

The fourth proportional to 61,470.80, 84,828.76 and 34,613.22 is: 47,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470.80 : 84,828.76 = 34,613.22 : x
  2. Step 2: Convert to fraction form
    61,470.80/84,828.76 = 34,613.22/x
  3. Step 3: Cross multiply
    61,470.80x = 84,828.76 × 34,613.22
  4. Step 4: Simplify right side
    61,470.80x = 2,936,196,532.21
  5. Step 5: Solve for x
    x = 2,936,196,532.21/61,470.80
  6. Step 6: Final answer
    x = 47,765.71

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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.