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Finding the Fourth Proportional to 53,324, 73,587.12 and 30,969.44

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Solution

The fourth proportional to 53,324, 73,587.12 and 30,969.44 is: 42,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,324 : 73,587.12 = 30,969.44 : x
  2. Step 2: Convert to fraction form
    53,324/73,587.12 = 30,969.44/x
  3. Step 3: Cross multiply
    53,324x = 73,587.12 × 30,969.44
  4. Step 4: Simplify right side
    53,324x = 2,278,951,897.61
  5. Step 5: Solve for x
    x = 2,278,951,897.61/53,324
  6. Step 6: Final answer
    x = 42,737.83

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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.