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Finding the Fourth Proportional to 75,875.80, 113,813.70 and 71,987.80

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Solution

The fourth proportional to 75,875.80, 113,813.70 and 71,987.80 is: 107,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.80 : 113,813.70 = 71,987.80 : x
  2. Step 2: Convert to fraction form
    75,875.80/113,813.70 = 71,987.80/x
  3. Step 3: Cross multiply
    75,875.80x = 113,813.70 × 71,987.80
  4. Step 4: Simplify right side
    75,875.80x = 8,193,197,872.86
  5. Step 5: Solve for x
    x = 8,193,197,872.86/75,875.80
  6. Step 6: Final answer
    x = 107,981.70

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