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Finding the Fourth Proportional to 49,095.35, 67,752.03 and 27,875.07

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Solution

The fourth proportional to 49,095.35, 67,752.03 and 27,875.07 is: 38,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.35 : 67,752.03 = 27,875.07 : x
  2. Step 2: Convert to fraction form
    49,095.35/67,752.03 = 27,875.07/x
  3. Step 3: Cross multiply
    49,095.35x = 67,752.03 × 27,875.07
  4. Step 4: Simplify right side
    49,095.35x = 1,888,592,578.89
  5. Step 5: Solve for x
    x = 1,888,592,578.89/49,095.35
  6. Step 6: Final answer
    x = 38,467.85

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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.