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Finding the Fourth Proportional to 65,381.16, 90,212.07 and 38,513.87

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Solution

The fourth proportional to 65,381.16, 90,212.07 and 38,513.87 is: 53,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.16 : 90,212.07 = 38,513.87 : x
  2. Step 2: Convert to fraction form
    65,381.16/90,212.07 = 38,513.87/x
  3. Step 3: Cross multiply
    65,381.16x = 90,212.07 × 38,513.87
  4. Step 4: Simplify right side
    65,381.16x = 3,474,415,485.35
  5. Step 5: Solve for x
    x = 3,474,415,485.35/65,381.16
  6. Step 6: Final answer
    x = 53,140.93

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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.