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Finding the Fourth Proportional to 48,322.05, 66,684.30 and 27,101.78

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Solution

The fourth proportional to 48,322.05, 66,684.30 and 27,101.78 is: 37,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,322.05 : 66,684.30 = 27,101.78 : x
  2. Step 2: Convert to fraction form
    48,322.05/66,684.30 = 27,101.78/x
  3. Step 3: Cross multiply
    48,322.05x = 66,684.30 × 27,101.78
  4. Step 4: Simplify right side
    48,322.05x = 1,807,262,894.63
  5. Step 5: Solve for x
    x = 1,807,262,894.63/48,322.05
  6. Step 6: Final answer
    x = 37,400.38

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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.