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Finding the Fourth Proportional to 65,287.80, 97,938.75 and 27,851.84

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Solution

The fourth proportional to 65,287.80, 97,938.75 and 27,851.84 is: 41,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.80 : 97,938.75 = 27,851.84 : x
  2. Step 2: Convert to fraction form
    65,287.80/97,938.75 = 27,851.84/x
  3. Step 3: Cross multiply
    65,287.80x = 97,938.75 × 27,851.84
  4. Step 4: Simplify right side
    65,287.80x = 2,727,773,905.11
  5. Step 5: Solve for x
    x = 2,727,773,905.11/65,287.80
  6. Step 6: Final answer
    x = 41,780.76

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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.