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Finding the Fourth Proportional to 42,771.47, 59,023.62 and 23,650.74

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Solution

The fourth proportional to 42,771.47, 59,023.62 and 23,650.74 is: 32,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.47 : 59,023.62 = 23,650.74 : x
  2. Step 2: Convert to fraction form
    42,771.47/59,023.62 = 23,650.74/x
  3. Step 3: Cross multiply
    42,771.47x = 59,023.62 × 23,650.74
  4. Step 4: Simplify right side
    42,771.47x = 1,395,952,290.48
  5. Step 5: Solve for x
    x = 1,395,952,290.48/42,771.47
  6. Step 6: Final answer
    x = 32,637.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.