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Finding the Fourth Proportional to 65,111.56, 97,672.20 and 27,667.40

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Solution

The fourth proportional to 65,111.56, 97,672.20 and 27,667.40 is: 41,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.56 : 97,672.20 = 27,667.40 : x
  2. Step 2: Convert to fraction form
    65,111.56/97,672.20 = 27,667.40/x
  3. Step 3: Cross multiply
    65,111.56x = 97,672.20 × 27,667.40
  4. Step 4: Simplify right side
    65,111.56x = 2,702,335,826.28
  5. Step 5: Solve for x
    x = 2,702,335,826.28/65,111.56
  6. Step 6: Final answer
    x = 41,503.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.