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Finding the Fourth Proportional to 67,320, 100,994.58 and 25,767

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Solution

The fourth proportional to 67,320, 100,994.58 and 25,767 is: 38,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,320 : 100,994.58 = 25,767 : x
  2. Step 2: Convert to fraction form
    67,320/100,994.58 = 25,767/x
  3. Step 3: Cross multiply
    67,320x = 100,994.58 × 25,767
  4. Step 4: Simplify right side
    67,320x = 2,602,327,342.86
  5. Step 5: Solve for x
    x = 2,602,327,342.86/67,320
  6. Step 6: Final answer
    x = 38,656.08

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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.