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Finding the Fourth Proportional to 98,652.89, 147,978.38 and 42,532.65

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Solution

The fourth proportional to 98,652.89, 147,978.38 and 42,532.65 is: 63,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.89 : 147,978.38 = 42,532.65 : x
  2. Step 2: Convert to fraction form
    98,652.89/147,978.38 = 42,532.65/x
  3. Step 3: Cross multiply
    98,652.89x = 147,978.38 × 42,532.65
  4. Step 4: Simplify right side
    98,652.89x = 6,293,912,431.44
  5. Step 5: Solve for x
    x = 6,293,912,431.44/98,652.89
  6. Step 6: Final answer
    x = 63,798.56

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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.