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Finding the Fourth Proportional to 37,803.84, 52,146.36 and 24,353.82

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Solution

The fourth proportional to 37,803.84, 52,146.36 and 24,353.82 is: 33,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,803.84 : 52,146.36 = 24,353.82 : x
  2. Step 2: Convert to fraction form
    37,803.84/52,146.36 = 24,353.82/x
  3. Step 3: Cross multiply
    37,803.84x = 52,146.36 × 24,353.82
  4. Step 4: Simplify right side
    37,803.84x = 1,269,963,065.10
  5. Step 5: Solve for x
    x = 1,269,963,065.10/37,803.84
  6. Step 6: Final answer
    x = 33,593.49

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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.