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Finding the Fourth Proportional to 49,095.84, 67,752.72 and 27,875.57

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Solution

The fourth proportional to 49,095.84, 67,752.72 and 27,875.57 is: 38,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.84 : 67,752.72 = 27,875.57 : x
  2. Step 2: Convert to fraction form
    49,095.84/67,752.72 = 27,875.57/x
  3. Step 3: Cross multiply
    49,095.84x = 67,752.72 × 27,875.57
  4. Step 4: Simplify right side
    49,095.84x = 1,888,645,350.29
  5. Step 5: Solve for x
    x = 1,888,645,350.29/49,095.84
  6. Step 6: Final answer
    x = 38,468.54

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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.