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Finding the Fourth Proportional to 48,949.11, 67,547.50 and 27,728.55

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Solution

The fourth proportional to 48,949.11, 67,547.50 and 27,728.55 is: 38,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,949.11 : 67,547.50 = 27,728.55 : x
  2. Step 2: Convert to fraction form
    48,949.11/67,547.50 = 27,728.55/x
  3. Step 3: Cross multiply
    48,949.11x = 67,547.50 × 27,728.55
  4. Step 4: Simplify right side
    48,949.11x = 1,872,994,231.13
  5. Step 5: Solve for x
    x = 1,872,994,231.13/48,949.11
  6. Step 6: Final answer
    x = 38,264.11

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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.