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Finding the Fourth Proportional to 83,209.95, 114,801.66 and 47,374.59

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Solution

The fourth proportional to 83,209.95, 114,801.66 and 47,374.59 is: 65,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.95 : 114,801.66 = 47,374.59 : x
  2. Step 2: Convert to fraction form
    83,209.95/114,801.66 = 47,374.59/x
  3. Step 3: Cross multiply
    83,209.95x = 114,801.66 × 47,374.59
  4. Step 4: Simplify right side
    83,209.95x = 5,438,681,573.82
  5. Step 5: Solve for x
    x = 5,438,681,573.82/83,209.95
  6. Step 6: Final answer
    x = 65,360.95

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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.