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Finding the Fourth Proportional to 37,099.84, 51,196.80 and 21,184.24

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Solution

The fourth proportional to 37,099.84, 51,196.80 and 21,184.24 is: 29,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099.84 : 51,196.80 = 21,184.24 : x
  2. Step 2: Convert to fraction form
    37,099.84/51,196.80 = 21,184.24/x
  3. Step 3: Cross multiply
    37,099.84x = 51,196.80 × 21,184.24
  4. Step 4: Simplify right side
    37,099.84x = 1,084,565,298.43
  5. Step 5: Solve for x
    x = 1,084,565,298.43/37,099.84
  6. Step 6: Final answer
    x = 29,233.69

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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.