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Finding the Fourth Proportional to 42,214.50, 58,256.64 and 23,351.58

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Solution

The fourth proportional to 42,214.50, 58,256.64 and 23,351.58 is: 32,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.50 : 58,256.64 = 23,351.58 : x
  2. Step 2: Convert to fraction form
    42,214.50/58,256.64 = 23,351.58/x
  3. Step 3: Cross multiply
    42,214.50x = 58,256.64 × 23,351.58
  4. Step 4: Simplify right side
    42,214.50x = 1,360,384,589.49
  5. Step 5: Solve for x
    x = 1,360,384,589.49/42,214.50
  6. Step 6: Final answer
    x = 32,225.53

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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.