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Finding the Fourth Proportional to 48,830.84, 67,386.19 and 27,610.86

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Solution

The fourth proportional to 48,830.84, 67,386.19 and 27,610.86 is: 38,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,830.84 : 67,386.19 = 27,610.86 : x
  2. Step 2: Convert to fraction form
    48,830.84/67,386.19 = 27,610.86/x
  3. Step 3: Cross multiply
    48,830.84x = 67,386.19 × 27,610.86
  4. Step 4: Simplify right side
    48,830.84x = 1,860,590,658.02
  5. Step 5: Solve for x
    x = 1,860,590,658.02/48,830.84
  6. Step 6: Final answer
    x = 38,102.78

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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.