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Finding the Fourth Proportional to 67,828.40, 101,728.74 and 25,693.95

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Solution

The fourth proportional to 67,828.40, 101,728.74 and 25,693.95 is: 38,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828.40 : 101,728.74 = 25,693.95 : x
  2. Step 2: Convert to fraction form
    67,828.40/101,728.74 = 25,693.95/x
  3. Step 3: Cross multiply
    67,828.40x = 101,728.74 × 25,693.95
  4. Step 4: Simplify right side
    67,828.40x = 2,613,813,636.96
  5. Step 5: Solve for x
    x = 2,613,813,636.96/67,828.40
  6. Step 6: Final answer
    x = 38,535.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.