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Finding the Fourth Proportional to 48,032.68, 66,284.84 and 27,894.51

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Solution

The fourth proportional to 48,032.68, 66,284.84 and 27,894.51 is: 38,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032.68 : 66,284.84 = 27,894.51 : x
  2. Step 2: Convert to fraction form
    48,032.68/66,284.84 = 27,894.51/x
  3. Step 3: Cross multiply
    48,032.68x = 66,284.84 × 27,894.51
  4. Step 4: Simplify right side
    48,032.68x = 1,848,983,132.23
  5. Step 5: Solve for x
    x = 1,848,983,132.23/48,032.68
  6. Step 6: Final answer
    x = 38,494.27

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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.