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Finding the Fourth Proportional to 72,251.60, 108,298.32 and 37,193.20

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Solution

The fourth proportional to 72,251.60, 108,298.32 and 37,193.20 is: 55,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,251.60 : 108,298.32 = 37,193.20 : x
  2. Step 2: Convert to fraction form
    72,251.60/108,298.32 = 37,193.20/x
  3. Step 3: Cross multiply
    72,251.60x = 108,298.32 × 37,193.20
  4. Step 4: Simplify right side
    72,251.60x = 4,027,961,075.42
  5. Step 5: Solve for x
    x = 4,027,961,075.42/72,251.60
  6. Step 6: Final answer
    x = 55,749.09

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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.