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Finding the Fourth Proportional to 65,245.27, 97,904.76 and 27,801.40

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Solution

The fourth proportional to 65,245.27, 97,904.76 and 27,801.40 is: 41,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.27 : 97,904.76 = 27,801.40 : x
  2. Step 2: Convert to fraction form
    65,245.27/97,904.76 = 27,801.40/x
  3. Step 3: Cross multiply
    65,245.27x = 97,904.76 × 27,801.40
  4. Step 4: Simplify right side
    65,245.27x = 2,721,889,394.66
  5. Step 5: Solve for x
    x = 2,721,889,394.66/65,245.27
  6. Step 6: Final answer
    x = 41,717.80

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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.