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Finding the Fourth Proportional to 65,735.27, 90,721.88 and 38,146.01

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Solution

The fourth proportional to 65,735.27, 90,721.88 and 38,146.01 is: 52,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.27 : 90,721.88 = 38,146.01 : x
  2. Step 2: Convert to fraction form
    65,735.27/90,721.88 = 38,146.01/x
  3. Step 3: Cross multiply
    65,735.27x = 90,721.88 × 38,146.01
  4. Step 4: Simplify right side
    65,735.27x = 3,460,677,097.36
  5. Step 5: Solve for x
    x = 3,460,677,097.36/65,735.27
  6. Step 6: Final answer
    x = 52,645.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.