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Finding the Fourth Proportional to 82,474.11, 113,817.87 and 46,663.20

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Solution

The fourth proportional to 82,474.11, 113,817.87 and 46,663.20 is: 64,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.11 : 113,817.87 = 46,663.20 : x
  2. Step 2: Convert to fraction form
    82,474.11/113,817.87 = 46,663.20/x
  3. Step 3: Cross multiply
    82,474.11x = 113,817.87 × 46,663.20
  4. Step 4: Simplify right side
    82,474.11x = 5,311,106,031.38
  5. Step 5: Solve for x
    x = 5,311,106,031.38/82,474.11
  6. Step 6: Final answer
    x = 64,397.25

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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.