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Finding the Fourth Proportional to 82,878.32, 114,367.92 and 47,063.72

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Solution

The fourth proportional to 82,878.32, 114,367.92 and 47,063.72 is: 64,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.32 : 114,367.92 = 47,063.72 : x
  2. Step 2: Convert to fraction form
    82,878.32/114,367.92 = 47,063.72/x
  3. Step 3: Cross multiply
    82,878.32x = 114,367.92 × 47,063.72
  4. Step 4: Simplify right side
    82,878.32x = 5,382,579,763.86
  5. Step 5: Solve for x
    x = 5,382,579,763.86/82,878.32
  6. Step 6: Final answer
    x = 64,945.57

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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.