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Finding the Fourth Proportional to 41,330.40, 57,035.28 and 22,468

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Solution

The fourth proportional to 41,330.40, 57,035.28 and 22,468 is: 31,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,330.40 : 57,035.28 = 22,468 : x
  2. Step 2: Convert to fraction form
    41,330.40/57,035.28 = 22,468/x
  3. Step 3: Cross multiply
    41,330.40x = 57,035.28 × 22,468
  4. Step 4: Simplify right side
    41,330.40x = 1,281,468,671.04
  5. Step 5: Solve for x
    x = 1,281,468,671.04/41,330.40
  6. Step 6: Final answer
    x = 31,005.47

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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.