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Finding the Fourth Proportional to 67,760, 101,541.60 and 48,077

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Solution

The fourth proportional to 67,760, 101,541.60 and 48,077 is: 72,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,760 : 101,541.60 = 48,077 : x
  2. Step 2: Convert to fraction form
    67,760/101,541.60 = 48,077/x
  3. Step 3: Cross multiply
    67,760x = 101,541.60 × 48,077
  4. Step 4: Simplify right side
    67,760x = 4,881,815,503.20
  5. Step 5: Solve for x
    x = 4,881,815,503.20/67,760
  6. Step 6: Final answer
    x = 72,045.68

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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.