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Finding the Fourth Proportional to 98,493.93, 147,787.01 and 48,546.76

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Solution

The fourth proportional to 98,493.93, 147,787.01 and 48,546.76 is: 72,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493.93 : 147,787.01 = 48,546.76 : x
  2. Step 2: Convert to fraction form
    98,493.93/147,787.01 = 48,546.76/x
  3. Step 3: Cross multiply
    98,493.93x = 147,787.01 × 48,546.76
  4. Step 4: Simplify right side
    98,493.93x = 7,174,580,505.59
  5. Step 5: Solve for x
    x = 7,174,580,505.59/98,493.93
  6. Step 6: Final answer
    x = 72,842.87

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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.