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Finding the Fourth Proportional to 83,833.81, 125,750.70 and 24,669.50

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Solution

The fourth proportional to 83,833.81, 125,750.70 and 24,669.50 is: 37,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,833.81 : 125,750.70 = 24,669.50 : x
  2. Step 2: Convert to fraction form
    83,833.81/125,750.70 = 24,669.50/x
  3. Step 3: Cross multiply
    83,833.81x = 125,750.70 × 24,669.50
  4. Step 4: Simplify right side
    83,833.81x = 3,102,206,264.90
  5. Step 5: Solve for x
    x = 3,102,206,264.90/83,833.81
  6. Step 6: Final answer
    x = 37,004.24

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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.