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Finding the Fourth Proportional to 98,794.65, 148,207.35 and 32,219.25

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Solution

The fourth proportional to 98,794.65, 148,207.35 and 32,219.25 is: 48,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794.65 : 148,207.35 = 32,219.25 : x
  2. Step 2: Convert to fraction form
    98,794.65/148,207.35 = 32,219.25/x
  3. Step 3: Cross multiply
    98,794.65x = 148,207.35 × 32,219.25
  4. Step 4: Simplify right side
    98,794.65x = 4,775,129,500.39
  5. Step 5: Solve for x
    x = 4,775,129,500.39/98,794.65
  6. Step 6: Final answer
    x = 48,333.89

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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.