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Finding the Fourth Proportional to 58,638.32, 80,920.16 and 31,780.44

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Solution

The fourth proportional to 58,638.32, 80,920.16 and 31,780.44 is: 43,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,638.32 : 80,920.16 = 31,780.44 : x
  2. Step 2: Convert to fraction form
    58,638.32/80,920.16 = 31,780.44/x
  3. Step 3: Cross multiply
    58,638.32x = 80,920.16 × 31,780.44
  4. Step 4: Simplify right side
    58,638.32x = 2,571,678,130.77
  5. Step 5: Solve for x
    x = 2,571,678,130.77/58,638.32
  6. Step 6: Final answer
    x = 43,856.62

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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.