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Finding the Fourth Proportional to 41,019.57, 56,607 and 22,156.69

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Solution

The fourth proportional to 41,019.57, 56,607 and 22,156.69 is: 30,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,019.57 : 56,607 = 22,156.69 : x
  2. Step 2: Convert to fraction form
    41,019.57/56,607 = 22,156.69/x
  3. Step 3: Cross multiply
    41,019.57x = 56,607 × 22,156.69
  4. Step 4: Simplify right side
    41,019.57x = 1,254,223,750.83
  5. Step 5: Solve for x
    x = 1,254,223,750.83/41,019.57
  6. Step 6: Final answer
    x = 30,576.23

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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.