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Finding the Fourth Proportional to 65,221.41, 97,792.14 and 27,760.15

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Solution

The fourth proportional to 65,221.41, 97,792.14 and 27,760.15 is: 41,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.41 : 97,792.14 = 27,760.15 : x
  2. Step 2: Convert to fraction form
    65,221.41/97,792.14 = 27,760.15/x
  3. Step 3: Cross multiply
    65,221.41x = 97,792.14 × 27,760.15
  4. Step 4: Simplify right side
    65,221.41x = 2,714,724,467.34
  5. Step 5: Solve for x
    x = 2,714,724,467.34/65,221.41
  6. Step 6: Final answer
    x = 41,623.21

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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.