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Finding the Fourth Proportional to 61,170.53, 84,414.80 and 34,312.46

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Solution

The fourth proportional to 61,170.53, 84,414.80 and 34,312.46 is: 47,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,170.53 : 84,414.80 = 34,312.46 : x
  2. Step 2: Convert to fraction form
    61,170.53/84,414.80 = 34,312.46/x
  3. Step 3: Cross multiply
    61,170.53x = 84,414.80 × 34,312.46
  4. Step 4: Simplify right side
    61,170.53x = 2,896,478,854.77
  5. Step 5: Solve for x
    x = 2,896,478,854.77/61,170.53
  6. Step 6: Final answer
    x = 47,350.89

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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.