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Finding the Fourth Proportional to 48,039.84, 66,284.28 and 27,885.24

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Solution

The fourth proportional to 48,039.84, 66,284.28 and 27,885.24 is: 38,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039.84 : 66,284.28 = 27,885.24 : x
  2. Step 2: Convert to fraction form
    48,039.84/66,284.28 = 27,885.24/x
  3. Step 3: Cross multiply
    48,039.84x = 66,284.28 × 27,885.24
  4. Step 4: Simplify right side
    48,039.84x = 1,848,353,056.03
  5. Step 5: Solve for x
    x = 1,848,353,056.03/48,039.84
  6. Step 6: Final answer
    x = 38,475.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.