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Finding the Fourth Proportional to 98,564.43, 147,844.52 and 32,004.44

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Solution

The fourth proportional to 98,564.43, 147,844.52 and 32,004.44 is: 48,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.43 : 147,844.52 = 32,004.44 : x
  2. Step 2: Convert to fraction form
    98,564.43/147,844.52 = 32,004.44/x
  3. Step 3: Cross multiply
    98,564.43x = 147,844.52 × 32,004.44
  4. Step 4: Simplify right side
    98,564.43x = 4,731,681,069.67
  5. Step 5: Solve for x
    x = 4,731,681,069.67/98,564.43
  6. Step 6: Final answer
    x = 48,005.97

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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.