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Finding the Fourth Proportional to 38,058, 57,087.18 and 10,356

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Solution

The fourth proportional to 38,058, 57,087.18 and 10,356 is: 15,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058 : 57,087.18 = 10,356 : x
  2. Step 2: Convert to fraction form
    38,058/57,087.18 = 10,356/x
  3. Step 3: Cross multiply
    38,058x = 57,087.18 × 10,356
  4. Step 4: Simplify right side
    38,058x = 591,194,836.08
  5. Step 5: Solve for x
    x = 591,194,836.08/38,058
  6. Step 6: Final answer
    x = 15,534.05

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Why These Related Problems?

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