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Finding the Fourth Proportional to 48,987.54, 67,603.23 and 27,762.84

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Solution

The fourth proportional to 48,987.54, 67,603.23 and 27,762.84 is: 38,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,987.54 : 67,603.23 = 27,762.84 : x
  2. Step 2: Convert to fraction form
    48,987.54/67,603.23 = 27,762.84/x
  3. Step 3: Cross multiply
    48,987.54x = 67,603.23 × 27,762.84
  4. Step 4: Simplify right side
    48,987.54x = 1,876,857,657.97
  5. Step 5: Solve for x
    x = 1,876,857,657.97/48,987.54
  6. Step 6: Final answer
    x = 38,312.96

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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.