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Finding the Fourth Proportional to 37,813.59, 52,126.81 and 24,200.12

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Solution

The fourth proportional to 37,813.59, 52,126.81 and 24,200.12 is: 33,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.59 : 52,126.81 = 24,200.12 : x
  2. Step 2: Convert to fraction form
    37,813.59/52,126.81 = 24,200.12/x
  3. Step 3: Cross multiply
    37,813.59x = 52,126.81 × 24,200.12
  4. Step 4: Simplify right side
    37,813.59x = 1,261,475,127.03
  5. Step 5: Solve for x
    x = 1,261,475,127.03/37,813.59
  6. Step 6: Final answer
    x = 33,360.36

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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.