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Finding the Fourth Proportional to 83,865.96, 125,740.62 and 31,261.32

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Solution

The fourth proportional to 83,865.96, 125,740.62 and 31,261.32 is: 46,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.96 : 125,740.62 = 31,261.32 : x
  2. Step 2: Convert to fraction form
    83,865.96/125,740.62 = 31,261.32/x
  3. Step 3: Cross multiply
    83,865.96x = 125,740.62 × 31,261.32
  4. Step 4: Simplify right side
    83,865.96x = 3,930,817,758.82
  5. Step 5: Solve for x
    x = 3,930,817,758.82/83,865.96
  6. Step 6: Final answer
    x = 46,870.24

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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.