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Finding the Fourth Proportional to 81,348, 112,254.06 and 49,513.38

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Solution

The fourth proportional to 81,348, 112,254.06 and 49,513.38 is: 68,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,348 : 112,254.06 = 49,513.38 : x
  2. Step 2: Convert to fraction form
    81,348/112,254.06 = 49,513.38/x
  3. Step 3: Cross multiply
    81,348x = 112,254.06 × 49,513.38
  4. Step 4: Simplify right side
    81,348x = 5,558,077,929.32
  5. Step 5: Solve for x
    x = 5,558,077,929.32/81,348
  6. Step 6: Final answer
    x = 68,324.70

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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.