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Finding the Fourth Proportional to 82,111.78, 113,314.35 and 44,386

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Solution

The fourth proportional to 82,111.78, 113,314.35 and 44,386 is: 61,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.78 : 113,314.35 = 44,386 : x
  2. Step 2: Convert to fraction form
    82,111.78/113,314.35 = 44,386/x
  3. Step 3: Cross multiply
    82,111.78x = 113,314.35 × 44,386
  4. Step 4: Simplify right side
    82,111.78x = 5,029,570,739.10
  5. Step 5: Solve for x
    x = 5,029,570,739.10/82,111.78
  6. Step 6: Final answer
    x = 61,252.73

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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.