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Finding the Fourth Proportional to 69,894.42, 96,452.53 and 40,084.50

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Solution

The fourth proportional to 69,894.42, 96,452.53 and 40,084.50 is: 55,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,894.42 : 96,452.53 = 40,084.50 : x
  2. Step 2: Convert to fraction form
    69,894.42/96,452.53 = 40,084.50/x
  3. Step 3: Cross multiply
    69,894.42x = 96,452.53 × 40,084.50
  4. Step 4: Simplify right side
    69,894.42x = 3,866,251,438.79
  5. Step 5: Solve for x
    x = 3,866,251,438.79/69,894.42
  6. Step 6: Final answer
    x = 55,315.60

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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.