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Finding the Fourth Proportional to 41,275.74, 56,960.02 and 22,413

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Solution

The fourth proportional to 41,275.74, 56,960.02 and 22,413 is: 30,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,275.74 : 56,960.02 = 22,413 : x
  2. Step 2: Convert to fraction form
    41,275.74/56,960.02 = 22,413/x
  3. Step 3: Cross multiply
    41,275.74x = 56,960.02 × 22,413
  4. Step 4: Simplify right side
    41,275.74x = 1,276,644,928.26
  5. Step 5: Solve for x
    x = 1,276,644,928.26/41,275.74
  6. Step 6: Final answer
    x = 30,929.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.