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Finding the Fourth Proportional to 98,794.59, 148,207.32 and 32,219.24

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Solution

The fourth proportional to 98,794.59, 148,207.32 and 32,219.24 is: 48,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794.59 : 148,207.32 = 32,219.24 : x
  2. Step 2: Convert to fraction form
    98,794.59/148,207.32 = 32,219.24/x
  3. Step 3: Cross multiply
    98,794.59x = 148,207.32 × 32,219.24
  4. Step 4: Simplify right side
    98,794.59x = 4,775,127,212.84
  5. Step 5: Solve for x
    x = 4,775,127,212.84/98,794.59
  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.