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Finding the Fourth Proportional to 42,770.16, 59,023.02 and 23,906.88

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Solution

The fourth proportional to 42,770.16, 59,023.02 and 23,906.88 is: 32,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.16 : 59,023.02 = 23,906.88 : x
  2. Step 2: Convert to fraction form
    42,770.16/59,023.02 = 23,906.88/x
  3. Step 3: Cross multiply
    42,770.16x = 59,023.02 × 23,906.88
  4. Step 4: Simplify right side
    42,770.16x = 1,411,056,256.38
  5. Step 5: Solve for x
    x = 1,411,056,256.38/42,770.16
  6. Step 6: Final answer
    x = 32,991.61

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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.