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Finding the Fourth Proportional to 73,582.56, 110,373.84 and 32,029.56

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Solution

The fourth proportional to 73,582.56, 110,373.84 and 32,029.56 is: 48,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,582.56 : 110,373.84 = 32,029.56 : x
  2. Step 2: Convert to fraction form
    73,582.56/110,373.84 = 32,029.56/x
  3. Step 3: Cross multiply
    73,582.56x = 110,373.84 × 32,029.56
  4. Step 4: Simplify right side
    73,582.56x = 3,535,225,530.71
  5. Step 5: Solve for x
    x = 3,535,225,530.71/73,582.56
  6. Step 6: Final answer
    x = 48,044.34

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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.