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Finding the Fourth Proportional to 85,232.78, 117,528.92 and 58,026.50

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Solution

The fourth proportional to 85,232.78, 117,528.92 and 58,026.50 is: 80,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232.78 : 117,528.92 = 58,026.50 : x
  2. Step 2: Convert to fraction form
    85,232.78/117,528.92 = 58,026.50/x
  3. Step 3: Cross multiply
    85,232.78x = 117,528.92 × 58,026.50
  4. Step 4: Simplify right side
    85,232.78x = 6,819,791,876.38
  5. Step 5: Solve for x
    x = 6,819,791,876.38/85,232.78
  6. Step 6: Final answer
    x = 80,013.72

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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.