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Finding the Fourth Proportional to 38,058.17, 57,087.50 and 9,977.97

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Solution

The fourth proportional to 38,058.17, 57,087.50 and 9,977.97 is: 14,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058.17 : 57,087.50 = 9,977.97 : x
  2. Step 2: Convert to fraction form
    38,058.17/57,087.50 = 9,977.97/x
  3. Step 3: Cross multiply
    38,058.17x = 57,087.50 × 9,977.97
  4. Step 4: Simplify right side
    38,058.17x = 569,617,526.56
  5. Step 5: Solve for x
    x = 569,617,526.56/38,058.17
  6. Step 6: Final answer
    x = 14,967.02

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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.