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Finding the Fourth Proportional to 65,206.66, 89,992.66 and 36,534.06

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Solution

The fourth proportional to 65,206.66, 89,992.66 and 36,534.06 is: 50,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.66 : 89,992.66 = 36,534.06 : x
  2. Step 2: Convert to fraction form
    65,206.66/89,992.66 = 36,534.06/x
  3. Step 3: Cross multiply
    65,206.66x = 89,992.66 × 36,534.06
  4. Step 4: Simplify right side
    65,206.66x = 3,287,797,418.89
  5. Step 5: Solve for x
    x = 3,287,797,418.89/65,206.66
  6. Step 6: Final answer
    x = 50,421.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.