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Finding the Fourth Proportional to 82,871.38, 114,363.26 and 45,145.63

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Solution

The fourth proportional to 82,871.38, 114,363.26 and 45,145.63 is: 62,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.38 : 114,363.26 = 45,145.63 : x
  2. Step 2: Convert to fraction form
    82,871.38/114,363.26 = 45,145.63/x
  3. Step 3: Cross multiply
    82,871.38x = 114,363.26 × 45,145.63
  4. Step 4: Simplify right side
    82,871.38x = 5,163,001,421.55
  5. Step 5: Solve for x
    x = 5,163,001,421.55/82,871.38
  6. Step 6: Final answer
    x = 62,301.38

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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.