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Finding the Fourth Proportional to 52,451.51, 72,383.04 and 28,578.38

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Solution

The fourth proportional to 52,451.51, 72,383.04 and 28,578.38 is: 39,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.51 : 72,383.04 = 28,578.38 : x
  2. Step 2: Convert to fraction form
    52,451.51/72,383.04 = 28,578.38/x
  3. Step 3: Cross multiply
    52,451.51x = 72,383.04 × 28,578.38
  4. Step 4: Simplify right side
    52,451.51x = 2,068,590,022.68
  5. Step 5: Solve for x
    x = 2,068,590,022.68/52,451.51
  6. Step 6: Final answer
    x = 39,438.14

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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.