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Finding the Fourth Proportional to 82,615.84, 114,045.87 and 52,447.54

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Solution

The fourth proportional to 82,615.84, 114,045.87 and 52,447.54 is: 72,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,615.84 : 114,045.87 = 52,447.54 : x
  2. Step 2: Convert to fraction form
    82,615.84/114,045.87 = 52,447.54/x
  3. Step 3: Cross multiply
    82,615.84x = 114,045.87 × 52,447.54
  4. Step 4: Simplify right side
    82,615.84x = 5,981,425,328.66
  5. Step 5: Solve for x
    x = 5,981,425,328.66/82,615.84
  6. Step 6: Final answer
    x = 72,400.47

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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.