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Finding the Fourth Proportional to 82,058.52, 113,240.75 and 44,332.77

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Solution

The fourth proportional to 82,058.52, 113,240.75 and 44,332.77 is: 61,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058.52 : 113,240.75 = 44,332.77 : x
  2. Step 2: Convert to fraction form
    82,058.52/113,240.75 = 44,332.77/x
  3. Step 3: Cross multiply
    82,058.52x = 113,240.75 × 44,332.77
  4. Step 4: Simplify right side
    82,058.52x = 5,020,276,124.38
  5. Step 5: Solve for x
    x = 5,020,276,124.38/82,058.52
  6. Step 6: Final answer
    x = 61,179.22

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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.