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Finding the Fourth Proportional to 82,839.16, 114,319.26 and 45,113.32

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Solution

The fourth proportional to 82,839.16, 114,319.26 and 45,113.32 is: 62,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839.16 : 114,319.26 = 45,113.32 : x
  2. Step 2: Convert to fraction form
    82,839.16/114,319.26 = 45,113.32/x
  3. Step 3: Cross multiply
    82,839.16x = 114,319.26 × 45,113.32
  4. Step 4: Simplify right side
    82,839.16x = 5,157,321,358.54
  5. Step 5: Solve for x
    x = 5,157,321,358.54/82,839.16
  6. Step 6: Final answer
    x = 62,257.05

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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.