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Finding the Fourth Proportional to 42,141.39, 58,157.83 and 24,236

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Solution

The fourth proportional to 42,141.39, 58,157.83 and 24,236 is: 33,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,141.39 : 58,157.83 = 24,236 : x
  2. Step 2: Convert to fraction form
    42,141.39/58,157.83 = 24,236/x
  3. Step 3: Cross multiply
    42,141.39x = 58,157.83 × 24,236
  4. Step 4: Simplify right side
    42,141.39x = 1,409,513,167.88
  5. Step 5: Solve for x
    x = 1,409,513,167.88/42,141.39
  6. Step 6: Final answer
    x = 33,447.24

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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.