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Finding the Fourth Proportional to 82,645.52, 114,050.25 and 44,919.77

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Solution

The fourth proportional to 82,645.52, 114,050.25 and 44,919.77 is: 61,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,645.52 : 114,050.25 = 44,919.77 : x
  2. Step 2: Convert to fraction form
    82,645.52/114,050.25 = 44,919.77/x
  3. Step 3: Cross multiply
    82,645.52x = 114,050.25 × 44,919.77
  4. Step 4: Simplify right side
    82,645.52x = 5,123,111,283.57
  5. Step 5: Solve for x
    x = 5,123,111,283.57/82,645.52
  6. Step 6: Final answer
    x = 61,988.98

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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.