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Finding the Fourth Proportional to 73,554.60, 110,346.30 and 31,434.60

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Solution

The fourth proportional to 73,554.60, 110,346.30 and 31,434.60 is: 47,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,554.60 : 110,346.30 = 31,434.60 : x
  2. Step 2: Convert to fraction form
    73,554.60/110,346.30 = 31,434.60/x
  3. Step 3: Cross multiply
    73,554.60x = 110,346.30 × 31,434.60
  4. Step 4: Simplify right side
    73,554.60x = 3,468,691,801.98
  5. Step 5: Solve for x
    x = 3,468,691,801.98/73,554.60
  6. Step 6: Final answer
    x = 47,158.05

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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.