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Finding the Fourth Proportional to 98,032.68, 147,049.02 and 27,912

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Solution

The fourth proportional to 98,032.68, 147,049.02 and 27,912 is: 41,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032.68 : 147,049.02 = 27,912 : x
  2. Step 2: Convert to fraction form
    98,032.68/147,049.02 = 27,912/x
  3. Step 3: Cross multiply
    98,032.68x = 147,049.02 × 27,912
  4. Step 4: Simplify right side
    98,032.68x = 4,104,432,246.24
  5. Step 5: Solve for x
    x = 4,104,432,246.24/98,032.68
  6. Step 6: Final answer
    x = 41,868

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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.