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Finding the Fourth Proportional to 38,027.30, 57,036.59 and 9,950.07

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Solution

The fourth proportional to 38,027.30, 57,036.59 and 9,950.07 is: 14,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,027.30 : 57,036.59 = 9,950.07 : x
  2. Step 2: Convert to fraction form
    38,027.30/57,036.59 = 9,950.07/x
  3. Step 3: Cross multiply
    38,027.30x = 57,036.59 × 9,950.07
  4. Step 4: Simplify right side
    38,027.30x = 567,518,087.94
  5. Step 5: Solve for x
    x = 567,518,087.94/38,027.30
  6. Step 6: Final answer
    x = 14,923.96

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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.