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Finding the Fourth Proportional to 71,833.50, 107,750.25 and 22,585.50

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Solution

The fourth proportional to 71,833.50, 107,750.25 and 22,585.50 is: 33,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.50 : 107,750.25 = 22,585.50 : x
  2. Step 2: Convert to fraction form
    71,833.50/107,750.25 = 22,585.50/x
  3. Step 3: Cross multiply
    71,833.50x = 107,750.25 × 22,585.50
  4. Step 4: Simplify right side
    71,833.50x = 2,433,593,271.38
  5. Step 5: Solve for x
    x = 2,433,593,271.38/71,833.50
  6. Step 6: Final answer
    x = 33,878.25

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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.