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Finding the Fourth Proportional to 92,585.76, 127,768.38 and 50,144.30

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Solution

The fourth proportional to 92,585.76, 127,768.38 and 50,144.30 is: 69,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,585.76 : 127,768.38 = 50,144.30 : x
  2. Step 2: Convert to fraction form
    92,585.76/127,768.38 = 50,144.30/x
  3. Step 3: Cross multiply
    92,585.76x = 127,768.38 × 50,144.30
  4. Step 4: Simplify right side
    92,585.76x = 6,406,855,338.39
  5. Step 5: Solve for x
    x = 6,406,855,338.39/92,585.76
  6. Step 6: Final answer
    x = 69,199.14

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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.