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Finding the Fourth Proportional to 38,071.40, 57,109.34 and 14,697.96

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Solution

The fourth proportional to 38,071.40, 57,109.34 and 14,697.96 is: 22,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071.40 : 57,109.34 = 14,697.96 : x
  2. Step 2: Convert to fraction form
    38,071.40/57,109.34 = 14,697.96/x
  3. Step 3: Cross multiply
    38,071.40x = 57,109.34 × 14,697.96
  4. Step 4: Simplify right side
    38,071.40x = 839,390,794.95
  5. Step 5: Solve for x
    x = 839,390,794.95/38,071.40
  6. Step 6: Final answer
    x = 22,047.80

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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.