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Finding the Fourth Proportional to 58,612.32, 80,885.02 and 31,755

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Solution

The fourth proportional to 58,612.32, 80,885.02 and 31,755 is: 43,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,612.32 : 80,885.02 = 31,755 : x
  2. Step 2: Convert to fraction form
    58,612.32/80,885.02 = 31,755/x
  3. Step 3: Cross multiply
    58,612.32x = 80,885.02 × 31,755
  4. Step 4: Simplify right side
    58,612.32x = 2,568,503,810.10
  5. Step 5: Solve for x
    x = 2,568,503,810.10/58,612.32
  6. Step 6: Final answer
    x = 43,821.91

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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.