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Finding the Fourth Proportional to 123,874.82, 185,812.16 and 35,129.06

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Solution

The fourth proportional to 123,874.82, 185,812.16 and 35,129.06 is: 52,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,874.82 : 185,812.16 = 35,129.06 : x
  2. Step 2: Convert to fraction form
    123,874.82/185,812.16 = 35,129.06/x
  3. Step 3: Cross multiply
    123,874.82x = 185,812.16 × 35,129.06
  4. Step 4: Simplify right side
    123,874.82x = 6,527,406,517.37
  5. Step 5: Solve for x
    x = 6,527,406,517.37/123,874.82
  6. Step 6: Final answer
    x = 52,693.57

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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.