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Finding the Fourth Proportional to 98,495.40, 147,753.36 and 31,932.84

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Solution

The fourth proportional to 98,495.40, 147,753.36 and 31,932.84 is: 47,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,495.40 : 147,753.36 = 31,932.84 : x
  2. Step 2: Convert to fraction form
    98,495.40/147,753.36 = 31,932.84/x
  3. Step 3: Cross multiply
    98,495.40x = 147,753.36 × 31,932.84
  4. Step 4: Simplify right side
    98,495.40x = 4,718,184,404.34
  5. Step 5: Solve for x
    x = 4,718,184,404.34/98,495.40
  6. Step 6: Final answer
    x = 47,902.59

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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.