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Finding the Fourth Proportional to 82,271.88, 113,535.54 and 46,462.32

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Solution

The fourth proportional to 82,271.88, 113,535.54 and 46,462.32 is: 64,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,271.88 : 113,535.54 = 46,462.32 : x
  2. Step 2: Convert to fraction form
    82,271.88/113,535.54 = 46,462.32/x
  3. Step 3: Cross multiply
    82,271.88x = 113,535.54 × 46,462.32
  4. Step 4: Simplify right side
    82,271.88x = 5,275,124,590.85
  5. Step 5: Solve for x
    x = 5,275,124,590.85/82,271.88
  6. Step 6: Final answer
    x = 64,118.20

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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.