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Finding the Fourth Proportional to 37,549.64, 51,813.06 and 24,122

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Solution

The fourth proportional to 37,549.64, 51,813.06 and 24,122 is: 33,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,549.64 : 51,813.06 = 24,122 : x
  2. Step 2: Convert to fraction form
    37,549.64/51,813.06 = 24,122/x
  3. Step 3: Cross multiply
    37,549.64x = 51,813.06 × 24,122
  4. Step 4: Simplify right side
    37,549.64x = 1,249,834,633.32
  5. Step 5: Solve for x
    x = 1,249,834,633.32/37,549.64
  6. Step 6: Final answer
    x = 33,284.86

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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.