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Finding the Fourth Proportional to 42,777.86, 59,031.75 and 23,656.39

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Solution

The fourth proportional to 42,777.86, 59,031.75 and 23,656.39 is: 32,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777.86 : 59,031.75 = 23,656.39 : x
  2. Step 2: Convert to fraction form
    42,777.86/59,031.75 = 23,656.39/x
  3. Step 3: Cross multiply
    42,777.86x = 59,031.75 × 23,656.39
  4. Step 4: Simplify right side
    42,777.86x = 1,396,478,100.38
  5. Step 5: Solve for x
    x = 1,396,478,100.38/42,777.86
  6. Step 6: Final answer
    x = 32,644.88

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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.