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Finding the Fourth Proportional to 42,202.88, 58,237.50 and 23,338.76

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Solution

The fourth proportional to 42,202.88, 58,237.50 and 23,338.76 is: 32,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.88 : 58,237.50 = 23,338.76 : x
  2. Step 2: Convert to fraction form
    42,202.88/58,237.50 = 23,338.76/x
  3. Step 3: Cross multiply
    42,202.88x = 58,237.50 × 23,338.76
  4. Step 4: Simplify right side
    42,202.88x = 1,359,191,035.50
  5. Step 5: Solve for x
    x = 1,359,191,035.50/42,202.88
  6. Step 6: Final answer
    x = 32,206.12

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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.