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Finding the Fourth Proportional to 82,371.12, 113,670.91 and 46,559.87

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Solution

The fourth proportional to 82,371.12, 113,670.91 and 46,559.87 is: 64,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,371.12 : 113,670.91 = 46,559.87 : x
  2. Step 2: Convert to fraction form
    82,371.12/113,670.91 = 46,559.87/x
  3. Step 3: Cross multiply
    82,371.12x = 113,670.91 × 46,559.87
  4. Step 4: Simplify right side
    82,371.12x = 5,292,502,792.38
  5. Step 5: Solve for x
    x = 5,292,502,792.38/82,371.12
  6. Step 6: Final answer
    x = 64,251.92

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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.