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Finding the Fourth Proportional to 73,221.83, 109,830.66 and 23,304.90

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Solution

The fourth proportional to 73,221.83, 109,830.66 and 23,304.90 is: 34,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,221.83 : 109,830.66 = 23,304.90 : x
  2. Step 2: Convert to fraction form
    73,221.83/109,830.66 = 23,304.90/x
  3. Step 3: Cross multiply
    73,221.83x = 109,830.66 × 23,304.90
  4. Step 4: Simplify right side
    73,221.83x = 2,559,592,548.23
  5. Step 5: Solve for x
    x = 2,559,592,548.23/73,221.83
  6. Step 6: Final answer
    x = 34,956.69

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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.