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Finding the Fourth Proportional to 61,756.29, 85,223.70 and 33,461.97

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Solution

The fourth proportional to 61,756.29, 85,223.70 and 33,461.97 is: 46,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,756.29 : 85,223.70 = 33,461.97 : x
  2. Step 2: Convert to fraction form
    61,756.29/85,223.70 = 33,461.97/x
  3. Step 3: Cross multiply
    61,756.29x = 85,223.70 × 33,461.97
  4. Step 4: Simplify right side
    61,756.29x = 2,851,752,892.69
  5. Step 5: Solve for x
    x = 2,851,752,892.69/61,756.29
  6. Step 6: Final answer
    x = 46,177.53

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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.