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Finding the Fourth Proportional to 48,684.80, 67,184.80 and 27,464

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Solution

The fourth proportional to 48,684.80, 67,184.80 and 27,464 is: 37,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684.80 : 67,184.80 = 27,464 : x
  2. Step 2: Convert to fraction form
    48,684.80/67,184.80 = 27,464/x
  3. Step 3: Cross multiply
    48,684.80x = 67,184.80 × 27,464
  4. Step 4: Simplify right side
    48,684.80x = 1,845,163,347.20
  5. Step 5: Solve for x
    x = 1,845,163,347.20/48,684.80
  6. Step 6: Final answer
    x = 37,900.19

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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.