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Finding the Fourth Proportional to 98,843.52, 148,288.80 and 32,283.72

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Solution

The fourth proportional to 98,843.52, 148,288.80 and 32,283.72 is: 48,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.52 : 148,288.80 = 32,283.72 : x
  2. Step 2: Convert to fraction form
    98,843.52/148,288.80 = 32,283.72/x
  3. Step 3: Cross multiply
    98,843.52x = 148,288.80 × 32,283.72
  4. Step 4: Simplify right side
    98,843.52x = 4,787,314,098.34
  5. Step 5: Solve for x
    x = 4,787,314,098.34/98,843.52
  6. Step 6: Final answer
    x = 48,433.26

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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.