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Finding the Fourth Proportional to 98,546.67, 147,820.82 and 42,382.89

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Solution

The fourth proportional to 98,546.67, 147,820.82 and 42,382.89 is: 63,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546.67 : 147,820.82 = 42,382.89 : x
  2. Step 2: Convert to fraction form
    98,546.67/147,820.82 = 42,382.89/x
  3. Step 3: Cross multiply
    98,546.67x = 147,820.82 × 42,382.89
  4. Step 4: Simplify right side
    98,546.67x = 6,265,073,341.86
  5. Step 5: Solve for x
    x = 6,265,073,341.86/98,546.67
  6. Step 6: Final answer
    x = 63,574.68

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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.