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Finding the Fourth Proportional to 66,282, 91,454.01 and 37,594.80

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Solution

The fourth proportional to 66,282, 91,454.01 and 37,594.80 is: 51,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,282 : 91,454.01 = 37,594.80 : x
  2. Step 2: Convert to fraction form
    66,282/91,454.01 = 37,594.80/x
  3. Step 3: Cross multiply
    66,282x = 91,454.01 × 37,594.80
  4. Step 4: Simplify right side
    66,282x = 3,438,195,417.12
  5. Step 5: Solve for x
    x = 3,438,195,417.12/66,282
  6. Step 6: Final answer
    x = 51,872.23

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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.