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Finding the Fourth Proportional to 37,582.56, 56,373.84 and 15,391.90

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Solution

The fourth proportional to 37,582.56, 56,373.84 and 15,391.90 is: 23,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,582.56 : 56,373.84 = 15,391.90 : x
  2. Step 2: Convert to fraction form
    37,582.56/56,373.84 = 15,391.90/x
  3. Step 3: Cross multiply
    37,582.56x = 56,373.84 × 15,391.90
  4. Step 4: Simplify right side
    37,582.56x = 867,700,507.90
  5. Step 5: Solve for x
    x = 867,700,507.90/37,582.56
  6. Step 6: Final answer
    x = 23,087.85

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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.