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Finding the Fourth Proportional to 83,738.44, 115,334.40 and 77,432.32

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Solution

The fourth proportional to 83,738.44, 115,334.40 and 77,432.32 is: 106,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738.44 : 115,334.40 = 77,432.32 : x
  2. Step 2: Convert to fraction form
    83,738.44/115,334.40 = 77,432.32/x
  3. Step 3: Cross multiply
    83,738.44x = 115,334.40 × 77,432.32
  4. Step 4: Simplify right side
    83,738.44x = 8,930,610,167.81
  5. Step 5: Solve for x
    x = 8,930,610,167.81/83,738.44
  6. Step 6: Final answer
    x = 106,648.87

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