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Finding the Fourth Proportional to 73,854.64, 110,840.10 and 27,120.88

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Solution

The fourth proportional to 73,854.64, 110,840.10 and 27,120.88 is: 40,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854.64 : 110,840.10 = 27,120.88 : x
  2. Step 2: Convert to fraction form
    73,854.64/110,840.10 = 27,120.88/x
  3. Step 3: Cross multiply
    73,854.64x = 110,840.10 × 27,120.88
  4. Step 4: Simplify right side
    73,854.64x = 3,006,081,051.29
  5. Step 5: Solve for x
    x = 3,006,081,051.29/73,854.64
  6. Step 6: Final answer
    x = 40,702.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.