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Finding the Fourth Proportional to 49,329.34, 68,081.14 and 27,823.48

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Solution

The fourth proportional to 49,329.34, 68,081.14 and 27,823.48 is: 38,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329.34 : 68,081.14 = 27,823.48 : x
  2. Step 2: Convert to fraction form
    49,329.34/68,081.14 = 27,823.48/x
  3. Step 3: Cross multiply
    49,329.34x = 68,081.14 × 27,823.48
  4. Step 4: Simplify right side
    49,329.34x = 1,894,254,484.70
  5. Step 5: Solve for x
    x = 1,894,254,484.70/49,329.34
  6. Step 6: Final answer
    x = 38,400.16

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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.