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Finding the Fourth Proportional to 75,889.40, 113,736.90 and 58,271.90

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Solution

The fourth proportional to 75,889.40, 113,736.90 and 58,271.90 is: 87,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.40 : 113,736.90 = 58,271.90 : x
  2. Step 2: Convert to fraction form
    75,889.40/113,736.90 = 58,271.90/x
  3. Step 3: Cross multiply
    75,889.40x = 113,736.90 × 58,271.90
  4. Step 4: Simplify right side
    75,889.40x = 6,627,665,263.11
  5. Step 5: Solve for x
    x = 6,627,665,263.11/75,889.40
  6. Step 6: Final answer
    x = 87,333.21

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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.