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Finding the Fourth Proportional to 88,414, 122,011.56 and 48,670

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Solution

The fourth proportional to 88,414, 122,011.56 and 48,670 is: 67,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,414 : 122,011.56 = 48,670 : x
  2. Step 2: Convert to fraction form
    88,414/122,011.56 = 48,670/x
  3. Step 3: Cross multiply
    88,414x = 122,011.56 × 48,670
  4. Step 4: Simplify right side
    88,414x = 5,938,302,625.20
  5. Step 5: Solve for x
    x = 5,938,302,625.20/88,414
  6. Step 6: Final answer
    x = 67,164.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.