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Finding the Fourth Proportional to 35,532.82, 53,298.49 and 11,842.08

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Solution

The fourth proportional to 35,532.82, 53,298.49 and 11,842.08 is: 17,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532.82 : 53,298.49 = 11,842.08 : x
  2. Step 2: Convert to fraction form
    35,532.82/53,298.49 = 11,842.08/x
  3. Step 3: Cross multiply
    35,532.82x = 53,298.49 × 11,842.08
  4. Step 4: Simplify right side
    35,532.82x = 631,164,952.85
  5. Step 5: Solve for x
    x = 631,164,952.85/35,532.82
  6. Step 6: Final answer
    x = 17,762.87

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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.