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Finding the Fourth Proportional to 40,174.16, 55,424.52 and 25,058

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Solution

The fourth proportional to 40,174.16, 55,424.52 and 25,058 is: 34,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,174.16 : 55,424.52 = 25,058 : x
  2. Step 2: Convert to fraction form
    40,174.16/55,424.52 = 25,058/x
  3. Step 3: Cross multiply
    40,174.16x = 55,424.52 × 25,058
  4. Step 4: Simplify right side
    40,174.16x = 1,388,827,622.16
  5. Step 5: Solve for x
    x = 1,388,827,622.16/40,174.16
  6. Step 6: Final answer
    x = 34,570.17

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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.