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Finding the Fourth Proportional to 73,281.42, 109,930.10 and 23,349.78

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Solution

The fourth proportional to 73,281.42, 109,930.10 and 23,349.78 is: 35,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,281.42 : 109,930.10 = 23,349.78 : x
  2. Step 2: Convert to fraction form
    73,281.42/109,930.10 = 23,349.78/x
  3. Step 3: Cross multiply
    73,281.42x = 109,930.10 × 23,349.78
  4. Step 4: Simplify right side
    73,281.42x = 2,566,843,533.63
  5. Step 5: Solve for x
    x = 2,566,843,533.63/73,281.42
  6. Step 6: Final answer
    x = 35,027.21

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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.