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Finding the Fourth Proportional to 42,506.66, 58,626.24 and 27,401.78

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Solution

The fourth proportional to 42,506.66, 58,626.24 and 27,401.78 is: 37,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.66 : 58,626.24 = 27,401.78 : x
  2. Step 2: Convert to fraction form
    42,506.66/58,626.24 = 27,401.78/x
  3. Step 3: Cross multiply
    42,506.66x = 58,626.24 × 27,401.78
  4. Step 4: Simplify right side
    42,506.66x = 1,606,463,330.71
  5. Step 5: Solve for x
    x = 1,606,463,330.71/42,506.66
  6. Step 6: Final answer
    x = 37,793.21

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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.