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Finding the Fourth Proportional to 48,994.74, 67,610.70 and 27,775.26

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Solution

The fourth proportional to 48,994.74, 67,610.70 and 27,775.26 is: 38,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,994.74 : 67,610.70 = 27,775.26 : x
  2. Step 2: Convert to fraction form
    48,994.74/67,610.70 = 27,775.26/x
  3. Step 3: Cross multiply
    48,994.74x = 67,610.70 × 27,775.26
  4. Step 4: Simplify right side
    48,994.74x = 1,877,904,771.28
  5. Step 5: Solve for x
    x = 1,877,904,771.28/48,994.74
  6. Step 6: Final answer
    x = 38,328.70

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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.