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Finding the Fourth Proportional to 48,963.02, 67,567.68 and 27,742.29

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Solution

The fourth proportional to 48,963.02, 67,567.68 and 27,742.29 is: 38,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963.02 : 67,567.68 = 27,742.29 : x
  2. Step 2: Convert to fraction form
    48,963.02/67,567.68 = 27,742.29/x
  3. Step 3: Cross multiply
    48,963.02x = 67,567.68 × 27,742.29
  4. Step 4: Simplify right side
    48,963.02x = 1,874,482,173.19
  5. Step 5: Solve for x
    x = 1,874,482,173.19/48,963.02
  6. Step 6: Final answer
    x = 38,283.63

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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.