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Finding the Fourth Proportional to 69,146, 95,433 and 52,349.84

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Solution

The fourth proportional to 69,146, 95,433 and 52,349.84 is: 72,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146 : 95,433 = 52,349.84 : x
  2. Step 2: Convert to fraction form
    69,146/95,433 = 52,349.84/x
  3. Step 3: Cross multiply
    69,146x = 95,433 × 52,349.84
  4. Step 4: Simplify right side
    69,146x = 4,995,902,280.72
  5. Step 5: Solve for x
    x = 4,995,902,280.72/69,146
  6. Step 6: Final answer
    x = 72,251.50

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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.