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Finding the Fourth Proportional to 48,969.84, 67,587.76 and 27,750

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Solution

The fourth proportional to 48,969.84, 67,587.76 and 27,750 is: 38,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969.84 : 67,587.76 = 27,750 : x
  2. Step 2: Convert to fraction form
    48,969.84/67,587.76 = 27,750/x
  3. Step 3: Cross multiply
    48,969.84x = 67,587.76 × 27,750
  4. Step 4: Simplify right side
    48,969.84x = 1,875,560,340.00
  5. Step 5: Solve for x
    x = 1,875,560,340.00/48,969.84
  6. Step 6: Final answer
    x = 38,300.32

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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.