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Finding the Fourth Proportional to 69,144, 95,430.24 and 52,347.84

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Solution

The fourth proportional to 69,144, 95,430.24 and 52,347.84 is: 72,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144 : 95,430.24 = 52,347.84 : x
  2. Step 2: Convert to fraction form
    69,144/95,430.24 = 52,347.84/x
  3. Step 3: Cross multiply
    69,144x = 95,430.24 × 52,347.84
  4. Step 4: Simplify right side
    69,144x = 4,995,566,934.68
  5. Step 5: Solve for x
    x = 4,995,566,934.68/69,144
  6. Step 6: Final answer
    x = 72,248.74

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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.