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Finding the Fourth Proportional to 82,147.32, 113,358.57 and 46,335.19

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Solution

The fourth proportional to 82,147.32, 113,358.57 and 46,335.19 is: 63,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.32 : 113,358.57 = 46,335.19 : x
  2. Step 2: Convert to fraction form
    82,147.32/113,358.57 = 46,335.19/x
  3. Step 3: Cross multiply
    82,147.32x = 113,358.57 × 46,335.19
  4. Step 4: Simplify right side
    82,147.32x = 5,252,490,879.08
  5. Step 5: Solve for x
    x = 5,252,490,879.08/82,147.32
  6. Step 6: Final answer
    x = 63,939.89

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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.