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Finding the Fourth Proportional to 65,115.32, 97,686 and 27,675.08

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Solution

The fourth proportional to 65,115.32, 97,686 and 27,675.08 is: 41,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115.32 : 97,686 = 27,675.08 : x
  2. Step 2: Convert to fraction form
    65,115.32/97,686 = 27,675.08/x
  3. Step 3: Cross multiply
    65,115.32x = 97,686 × 27,675.08
  4. Step 4: Simplify right side
    65,115.32x = 2,703,467,864.88
  5. Step 5: Solve for x
    x = 2,703,467,864.88/65,115.32
  6. Step 6: Final answer
    x = 41,518.15

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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.