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Finding the Fourth Proportional to 69,907.86, 96,474.24 and 38,078.10

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Solution

The fourth proportional to 69,907.86, 96,474.24 and 38,078.10 is: 52,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,907.86 : 96,474.24 = 38,078.10 : x
  2. Step 2: Convert to fraction form
    69,907.86/96,474.24 = 38,078.10/x
  3. Step 3: Cross multiply
    69,907.86x = 96,474.24 × 38,078.10
  4. Step 4: Simplify right side
    69,907.86x = 3,673,555,758.14
  5. Step 5: Solve for x
    x = 3,673,555,758.14/69,907.86
  6. Step 6: Final answer
    x = 52,548.54

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1.5x scale

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.