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Finding the Fourth Proportional to 82,124.80, 113,332.16 and 44,398.72

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Solution

The fourth proportional to 82,124.80, 113,332.16 and 44,398.72 is: 61,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.80 : 113,332.16 = 44,398.72 : x
  2. Step 2: Convert to fraction form
    82,124.80/113,332.16 = 44,398.72/x
  3. Step 3: Cross multiply
    82,124.80x = 113,332.16 × 44,398.72
  4. Step 4: Simplify right side
    82,124.80x = 5,031,802,838.84
  5. Step 5: Solve for x
    x = 5,031,802,838.84/82,124.80
  6. Step 6: Final answer
    x = 61,270.20

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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.