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Finding the Fourth Proportional to 83,221.71, 124,799.73 and 35,840.35

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Solution

The fourth proportional to 83,221.71, 124,799.73 and 35,840.35 is: 53,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.71 : 124,799.73 = 35,840.35 : x
  2. Step 2: Convert to fraction form
    83,221.71/124,799.73 = 35,840.35/x
  3. Step 3: Cross multiply
    83,221.71x = 124,799.73 × 35,840.35
  4. Step 4: Simplify right side
    83,221.71x = 4,472,866,003.11
  5. Step 5: Solve for x
    x = 4,472,866,003.11/83,221.71
  6. Step 6: Final answer
    x = 53,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.