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Finding the Fourth Proportional to 42,151.42, 58,142.91 and 35,327.98

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Solution

The fourth proportional to 42,151.42, 58,142.91 and 35,327.98 is: 48,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,151.42 : 58,142.91 = 35,327.98 : x
  2. Step 2: Convert to fraction form
    42,151.42/58,142.91 = 35,327.98/x
  3. Step 3: Cross multiply
    42,151.42x = 58,142.91 × 35,327.98
  4. Step 4: Simplify right side
    42,151.42x = 2,054,071,561.62
  5. Step 5: Solve for x
    x = 2,054,071,561.62/42,151.42
  6. Step 6: Final answer
    x = 48,730.78

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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.