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Finding the Fourth Proportional to 75,353.40, 112,932.90 and 57,735.90

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Solution

The fourth proportional to 75,353.40, 112,932.90 and 57,735.90 is: 86,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,353.40 : 112,932.90 = 57,735.90 : x
  2. Step 2: Convert to fraction form
    75,353.40/112,932.90 = 57,735.90/x
  3. Step 3: Cross multiply
    75,353.40x = 112,932.90 × 57,735.90
  4. Step 4: Simplify right side
    75,353.40x = 6,520,282,621.11
  5. Step 5: Solve for x
    x = 6,520,282,621.11/75,353.40
  6. Step 6: Final answer
    x = 86,529.38

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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.