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Finding the Fourth Proportional to 98,953.82, 148,446.30 and 32,378.30

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Solution

The fourth proportional to 98,953.82, 148,446.30 and 32,378.30 is: 48,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.82 : 148,446.30 = 32,378.30 : x
  2. Step 2: Convert to fraction form
    98,953.82/148,446.30 = 32,378.30/x
  3. Step 3: Cross multiply
    98,953.82x = 148,446.30 × 32,378.30
  4. Step 4: Simplify right side
    98,953.82x = 4,806,438,835.29
  5. Step 5: Solve for x
    x = 4,806,438,835.29/98,953.82
  6. Step 6: Final answer
    x = 48,572.54

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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.