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Finding the Fourth Proportional to 36,565.12, 50,459.64 and 19,798

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Solution

The fourth proportional to 36,565.12, 50,459.64 and 19,798 is: 27,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,565.12 : 50,459.64 = 19,798 : x
  2. Step 2: Convert to fraction form
    36,565.12/50,459.64 = 19,798/x
  3. Step 3: Cross multiply
    36,565.12x = 50,459.64 × 19,798
  4. Step 4: Simplify right side
    36,565.12x = 998,999,952.72
  5. Step 5: Solve for x
    x = 998,999,952.72/36,565.12
  6. Step 6: Final answer
    x = 27,321.12

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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.