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Finding the Fourth Proportional to 83,526.51, 115,265.19 and 47,227.38

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Solution

The fourth proportional to 83,526.51, 115,265.19 and 47,227.38 is: 65,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,526.51 : 115,265.19 = 47,227.38 : x
  2. Step 2: Convert to fraction form
    83,526.51/115,265.19 = 47,227.38/x
  3. Step 3: Cross multiply
    83,526.51x = 115,265.19 × 47,227.38
  4. Step 4: Simplify right side
    83,526.51x = 5,443,672,928.90
  5. Step 5: Solve for x
    x = 5,443,672,928.90/83,526.51
  6. Step 6: Final answer
    x = 65,173.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.