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Finding the Fourth Proportional to 69,881.32, 96,436.74 and 38,050.75

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Solution

The fourth proportional to 69,881.32, 96,436.74 and 38,050.75 is: 52,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,881.32 : 96,436.74 = 38,050.75 : x
  2. Step 2: Convert to fraction form
    69,881.32/96,436.74 = 38,050.75/x
  3. Step 3: Cross multiply
    69,881.32x = 96,436.74 × 38,050.75
  4. Step 4: Simplify right side
    69,881.32x = 3,669,490,284.56
  5. Step 5: Solve for x
    x = 3,669,490,284.56/69,881.32
  6. Step 6: Final answer
    x = 52,510.32

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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.