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Finding the Fourth Proportional to 67,825.76, 93,594.48 and 38,012

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Solution

The fourth proportional to 67,825.76, 93,594.48 and 38,012 is: 52,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,825.76 : 93,594.48 = 38,012 : x
  2. Step 2: Convert to fraction form
    67,825.76/93,594.48 = 38,012/x
  3. Step 3: Cross multiply
    67,825.76x = 93,594.48 × 38,012
  4. Step 4: Simplify right side
    67,825.76x = 3,557,713,373.76
  5. Step 5: Solve for x
    x = 3,557,713,373.76/67,825.76
  6. Step 6: Final answer
    x = 52,453.72

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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.