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Finding the Fourth Proportional to 37,782.81, 52,140.42 and 21,015.81

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Solution

The fourth proportional to 37,782.81, 52,140.42 and 21,015.81 is: 29,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.81 : 52,140.42 = 21,015.81 : x
  2. Step 2: Convert to fraction form
    37,782.81/52,140.42 = 21,015.81/x
  3. Step 3: Cross multiply
    37,782.81x = 52,140.42 × 21,015.81
  4. Step 4: Simplify right side
    37,782.81x = 1,095,773,160.04
  5. Step 5: Solve for x
    x = 1,095,773,160.04/37,782.81
  6. Step 6: Final answer
    x = 29,001.90

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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.