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Finding the Fourth Proportional to 42,650.40, 58,881.66 and 29,577

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Solution

The fourth proportional to 42,650.40, 58,881.66 and 29,577 is: 40,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,650.40 : 58,881.66 = 29,577 : x
  2. Step 2: Convert to fraction form
    42,650.40/58,881.66 = 29,577/x
  3. Step 3: Cross multiply
    42,650.40x = 58,881.66 × 29,577
  4. Step 4: Simplify right side
    42,650.40x = 1,741,542,857.82
  5. Step 5: Solve for x
    x = 1,741,542,857.82/42,650.40
  6. Step 6: Final answer
    x = 40,832.98

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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.