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Finding the Fourth Proportional to 65,107.08, 89,849.54 and 36,817

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Solution

The fourth proportional to 65,107.08, 89,849.54 and 36,817 is: 50,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.08 : 89,849.54 = 36,817 : x
  2. Step 2: Convert to fraction form
    65,107.08/89,849.54 = 36,817/x
  3. Step 3: Cross multiply
    65,107.08x = 89,849.54 × 36,817
  4. Step 4: Simplify right side
    65,107.08x = 3,307,990,514.18
  5. Step 5: Solve for x
    x = 3,307,990,514.18/65,107.08
  6. Step 6: Final answer
    x = 50,808.46

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