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Finding the Fourth Proportional to 82,565.66, 113,947.66 and 46,762.04

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Solution

The fourth proportional to 82,565.66, 113,947.66 and 46,762.04 is: 64,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,565.66 : 113,947.66 = 46,762.04 : x
  2. Step 2: Convert to fraction form
    82,565.66/113,947.66 = 46,762.04/x
  3. Step 3: Cross multiply
    82,565.66x = 113,947.66 × 46,762.04
  4. Step 4: Simplify right side
    82,565.66x = 5,328,425,378.15
  5. Step 5: Solve for x
    x = 5,328,425,378.15/82,565.66
  6. Step 6: Final answer
    x = 64,535.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.