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Finding the Fourth Proportional to 52,414, 72,332.94 and 30,058

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Solution

The fourth proportional to 52,414, 72,332.94 and 30,058 is: 41,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414 : 72,332.94 = 30,058 : x
  2. Step 2: Convert to fraction form
    52,414/72,332.94 = 30,058/x
  3. Step 3: Cross multiply
    52,414x = 72,332.94 × 30,058
  4. Step 4: Simplify right side
    52,414x = 2,174,183,510.52
  5. Step 5: Solve for x
    x = 2,174,183,510.52/52,414
  6. Step 6: Final answer
    x = 41,480.97

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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.