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Finding the Fourth Proportional to 83,871.62, 125,803.35 and 31,277.01

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Solution

The fourth proportional to 83,871.62, 125,803.35 and 31,277.01 is: 46,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,871.62 : 125,803.35 = 31,277.01 : x
  2. Step 2: Convert to fraction form
    83,871.62/125,803.35 = 31,277.01/x
  3. Step 3: Cross multiply
    83,871.62x = 125,803.35 × 31,277.01
  4. Step 4: Simplify right side
    83,871.62x = 3,934,752,635.98
  5. Step 5: Solve for x
    x = 3,934,752,635.98/83,871.62
  6. Step 6: Final answer
    x = 46,914.00

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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.