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Finding the Fourth Proportional to 65,231.55, 97,875.18 and 27,809.25

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Solution

The fourth proportional to 65,231.55, 97,875.18 and 27,809.25 is: 41,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.55 : 97,875.18 = 27,809.25 : x
  2. Step 2: Convert to fraction form
    65,231.55/97,875.18 = 27,809.25/x
  3. Step 3: Cross multiply
    65,231.55x = 97,875.18 × 27,809.25
  4. Step 4: Simplify right side
    65,231.55x = 2,721,835,349.42
  5. Step 5: Solve for x
    x = 2,721,835,349.42/65,231.55
  6. Step 6: Final answer
    x = 41,725.75

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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.