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Finding the Fourth Proportional to 61,419.98, 84,763.86 and 34,565.06

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Solution

The fourth proportional to 61,419.98, 84,763.86 and 34,565.06 is: 47,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,419.98 : 84,763.86 = 34,565.06 : x
  2. Step 2: Convert to fraction form
    61,419.98/84,763.86 = 34,565.06/x
  3. Step 3: Cross multiply
    61,419.98x = 84,763.86 × 34,565.06
  4. Step 4: Simplify right side
    61,419.98x = 2,929,867,906.73
  5. Step 5: Solve for x
    x = 2,929,867,906.73/61,419.98
  6. Step 6: Final answer
    x = 47,702.20

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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.