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Finding the Fourth Proportional to 75,671.56, 113,491.84 and 28,277.90

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Solution

The fourth proportional to 75,671.56, 113,491.84 and 28,277.90 is: 42,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.56 : 113,491.84 = 28,277.90 : x
  2. Step 2: Convert to fraction form
    75,671.56/113,491.84 = 28,277.90/x
  3. Step 3: Cross multiply
    75,671.56x = 113,491.84 × 28,277.90
  4. Step 4: Simplify right side
    75,671.56x = 3,209,310,902.34
  5. Step 5: Solve for x
    x = 3,209,310,902.34/75,671.56
  6. Step 6: Final answer
    x = 42,411.06

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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.