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Finding the Fourth Proportional to 41,878.23, 57,792.18 and 22,758.16

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Solution

The fourth proportional to 41,878.23, 57,792.18 and 22,758.16 is: 31,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.23 : 57,792.18 = 22,758.16 : x
  2. Step 2: Convert to fraction form
    41,878.23/57,792.18 = 22,758.16/x
  3. Step 3: Cross multiply
    41,878.23x = 57,792.18 × 22,758.16
  4. Step 4: Simplify right side
    41,878.23x = 1,315,243,390.23
  5. Step 5: Solve for x
    x = 1,315,243,390.23/41,878.23
  6. Step 6: Final answer
    x = 31,406.38

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Why These Related Problems?

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