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Finding the Fourth Proportional to 57,085.56, 78,776.12 and 31,593

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Solution

The fourth proportional to 57,085.56, 78,776.12 and 31,593 is: 43,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.56 : 78,776.12 = 31,593 : x
  2. Step 2: Convert to fraction form
    57,085.56/78,776.12 = 31,593/x
  3. Step 3: Cross multiply
    57,085.56x = 78,776.12 × 31,593
  4. Step 4: Simplify right side
    57,085.56x = 2,488,773,959.16
  5. Step 5: Solve for x
    x = 2,488,773,959.16/57,085.56
  6. Step 6: Final answer
    x = 43,597.26

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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.