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Finding the Fourth Proportional to 65,092.29, 97,651.49 and 27,652.06

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Solution

The fourth proportional to 65,092.29, 97,651.49 and 27,652.06 is: 41,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.29 : 97,651.49 = 27,652.06 : x
  2. Step 2: Convert to fraction form
    65,092.29/97,651.49 = 27,652.06/x
  3. Step 3: Cross multiply
    65,092.29x = 97,651.49 × 27,652.06
  4. Step 4: Simplify right side
    65,092.29x = 2,700,264,860.57
  5. Step 5: Solve for x
    x = 2,700,264,860.57/65,092.29
  6. Step 6: Final answer
    x = 41,483.64

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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.