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Finding the Fourth Proportional to 53,282.10, 79,923.12 and 15,842

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Solution

The fourth proportional to 53,282.10, 79,923.12 and 15,842 is: 23,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282.10 : 79,923.12 = 15,842 : x
  2. Step 2: Convert to fraction form
    53,282.10/79,923.12 = 15,842/x
  3. Step 3: Cross multiply
    53,282.10x = 79,923.12 × 15,842
  4. Step 4: Simplify right side
    53,282.10x = 1,266,142,067.04
  5. Step 5: Solve for x
    x = 1,266,142,067.04/53,282.10
  6. Step 6: Final answer
    x = 23,762.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.