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Finding the Fourth Proportional to 69,880.74, 96,437.46 and 38,050.20

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Solution

The fourth proportional to 69,880.74, 96,437.46 and 38,050.20 is: 52,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,880.74 : 96,437.46 = 38,050.20 : x
  2. Step 2: Convert to fraction form
    69,880.74/96,437.46 = 38,050.20/x
  3. Step 3: Cross multiply
    69,880.74x = 96,437.46 × 38,050.20
  4. Step 4: Simplify right side
    69,880.74x = 3,669,464,640.49
  5. Step 5: Solve for x
    x = 3,669,464,640.49/69,880.74
  6. Step 6: Final answer
    x = 52,510.39

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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.