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Finding the Fourth Proportional to 48,023.40, 66,267.36 and 27,876.36

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Solution

The fourth proportional to 48,023.40, 66,267.36 and 27,876.36 is: 38,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,023.40 : 66,267.36 = 27,876.36 : x
  2. Step 2: Convert to fraction form
    48,023.40/66,267.36 = 27,876.36/x
  3. Step 3: Cross multiply
    48,023.40x = 66,267.36 × 27,876.36
  4. Step 4: Simplify right side
    48,023.40x = 1,847,292,783.61
  5. Step 5: Solve for x
    x = 1,847,292,783.61/48,023.40
  6. Step 6: Final answer
    x = 38,466.51

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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.