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Finding the Fourth Proportional to 69,823.60, 96,391 and 54,690.16

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Solution

The fourth proportional to 69,823.60, 96,391 and 54,690.16 is: 75,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,823.60 : 96,391 = 54,690.16 : x
  2. Step 2: Convert to fraction form
    69,823.60/96,391 = 54,690.16/x
  3. Step 3: Cross multiply
    69,823.60x = 96,391 × 54,690.16
  4. Step 4: Simplify right side
    69,823.60x = 5,271,639,212.56
  5. Step 5: Solve for x
    x = 5,271,639,212.56/69,823.60
  6. Step 6: Final answer
    x = 75,499.39

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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.