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Finding the Fourth Proportional to 83,707.50, 125,579.76 and 27,564.90

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Solution

The fourth proportional to 83,707.50, 125,579.76 and 27,564.90 is: 41,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.50 : 125,579.76 = 27,564.90 : x
  2. Step 2: Convert to fraction form
    83,707.50/125,579.76 = 27,564.90/x
  3. Step 3: Cross multiply
    83,707.50x = 125,579.76 × 27,564.90
  4. Step 4: Simplify right side
    83,707.50x = 3,461,593,526.42
  5. Step 5: Solve for x
    x = 3,461,593,526.42/83,707.50
  6. Step 6: Final answer
    x = 41,353.45

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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.