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Finding the Fourth Proportional to 38,036.36, 57,060.72 and 11,735

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Solution

The fourth proportional to 38,036.36, 57,060.72 and 11,735 is: 17,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.36 : 57,060.72 = 11,735 : x
  2. Step 2: Convert to fraction form
    38,036.36/57,060.72 = 11,735/x
  3. Step 3: Cross multiply
    38,036.36x = 57,060.72 × 11,735
  4. Step 4: Simplify right side
    38,036.36x = 669,607,549.20
  5. Step 5: Solve for x
    x = 669,607,549.20/38,036.36
  6. Step 6: Final answer
    x = 17,604.41

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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.