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Finding the Fourth Proportional to 30,688.37, 42,353.97 and 22,753.19

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Solution

The fourth proportional to 30,688.37, 42,353.97 and 22,753.19 is: 31,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.37 : 42,353.97 = 22,753.19 : x
  2. Step 2: Convert to fraction form
    30,688.37/42,353.97 = 22,753.19/x
  3. Step 3: Cross multiply
    30,688.37x = 42,353.97 × 22,753.19
  4. Step 4: Simplify right side
    30,688.37x = 963,687,926.66
  5. Step 5: Solve for x
    x = 963,687,926.66/30,688.37
  6. Step 6: Final answer
    x = 31,402.38

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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.