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Finding the Fourth Proportional to 107,874.16, 161,684.12 and 48,640.48

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Solution

The fourth proportional to 107,874.16, 161,684.12 and 48,640.48 is: 72,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,874.16 : 161,684.12 = 48,640.48 : x
  2. Step 2: Convert to fraction form
    107,874.16/161,684.12 = 48,640.48/x
  3. Step 3: Cross multiply
    107,874.16x = 161,684.12 × 48,640.48
  4. Step 4: Simplify right side
    107,874.16x = 7,864,393,205.18
  5. Step 5: Solve for x
    x = 7,864,393,205.18/107,874.16
  6. Step 6: Final answer
    x = 72,903.40

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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.