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Finding the Fourth Proportional to 34,705, 52,058.94 and 10,081

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Solution

The fourth proportional to 34,705, 52,058.94 and 10,081 is: 15,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705 : 52,058.94 = 10,081 : x
  2. Step 2: Convert to fraction form
    34,705/52,058.94 = 10,081/x
  3. Step 3: Cross multiply
    34,705x = 52,058.94 × 10,081
  4. Step 4: Simplify right side
    34,705x = 524,806,174.14
  5. Step 5: Solve for x
    x = 524,806,174.14/34,705
  6. Step 6: Final answer
    x = 15,121.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.