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Finding the Fourth Proportional to 65,251.65, 97,877.49 and 18,504.93

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Solution

The fourth proportional to 65,251.65, 97,877.49 and 18,504.93 is: 27,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.65 : 97,877.49 = 18,504.93 : x
  2. Step 2: Convert to fraction form
    65,251.65/97,877.49 = 18,504.93/x
  3. Step 3: Cross multiply
    65,251.65x = 97,877.49 × 18,504.93
  4. Step 4: Simplify right side
    65,251.65x = 1,811,216,101.03
  5. Step 5: Solve for x
    x = 1,811,216,101.03/65,251.65
  6. Step 6: Final answer
    x = 27,757.40

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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.