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Finding the Fourth Proportional to 73,742.80, 110,630.40 and 23,814.40

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Solution

The fourth proportional to 73,742.80, 110,630.40 and 23,814.40 is: 35,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.80 : 110,630.40 = 23,814.40 : x
  2. Step 2: Convert to fraction form
    73,742.80/110,630.40 = 23,814.40/x
  3. Step 3: Cross multiply
    73,742.80x = 110,630.40 × 23,814.40
  4. Step 4: Simplify right side
    73,742.80x = 2,634,596,597.76
  5. Step 5: Solve for x
    x = 2,634,596,597.76/73,742.80
  6. Step 6: Final answer
    x = 35,726.83

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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.