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Finding the Fourth Proportional to 98,532.46, 147,801.84 and 38,558.56

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Solution

The fourth proportional to 98,532.46, 147,801.84 and 38,558.56 is: 57,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532.46 : 147,801.84 = 38,558.56 : x
  2. Step 2: Convert to fraction form
    98,532.46/147,801.84 = 38,558.56/x
  3. Step 3: Cross multiply
    98,532.46x = 147,801.84 × 38,558.56
  4. Step 4: Simplify right side
    98,532.46x = 5,699,026,115.75
  5. Step 5: Solve for x
    x = 5,699,026,115.75/98,532.46
  6. Step 6: Final answer
    x = 57,839.07

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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.