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Finding the Fourth Proportional to 69,751.68, 96,278.40 and 47,408.64

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Solution

The fourth proportional to 69,751.68, 96,278.40 and 47,408.64 is: 65,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,751.68 : 96,278.40 = 47,408.64 : x
  2. Step 2: Convert to fraction form
    69,751.68/96,278.40 = 47,408.64/x
  3. Step 3: Cross multiply
    69,751.68x = 96,278.40 × 47,408.64
  4. Step 4: Simplify right side
    69,751.68x = 4,564,428,005.38
  5. Step 5: Solve for x
    x = 4,564,428,005.38/69,751.68
  6. Step 6: Final answer
    x = 65,438.25

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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.