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Finding the Fourth Proportional to 61,419.79, 84,758.31 and 34,562.29

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Solution

The fourth proportional to 61,419.79, 84,758.31 and 34,562.29 is: 47,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,419.79 : 84,758.31 = 34,562.29 : x
  2. Step 2: Convert to fraction form
    61,419.79/84,758.31 = 34,562.29/x
  3. Step 3: Cross multiply
    61,419.79x = 84,758.31 × 34,562.29
  4. Step 4: Simplify right side
    61,419.79x = 2,929,441,290.13
  5. Step 5: Solve for x
    x = 2,929,441,290.13/61,419.79
  6. Step 6: Final answer
    x = 47,695.40

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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.