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Finding the Fourth Proportional to 75,802.80, 113,704.20 and 25,878.45

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Solution

The fourth proportional to 75,802.80, 113,704.20 and 25,878.45 is: 38,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.80 : 113,704.20 = 25,878.45 : x
  2. Step 2: Convert to fraction form
    75,802.80/113,704.20 = 25,878.45/x
  3. Step 3: Cross multiply
    75,802.80x = 113,704.20 × 25,878.45
  4. Step 4: Simplify right side
    75,802.80x = 2,942,488,454.49
  5. Step 5: Solve for x
    x = 2,942,488,454.49/75,802.80
  6. Step 6: Final answer
    x = 38,817.68

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1.5x scale

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.