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Finding the Fourth Proportional to 75,807.13, 113,670.50 and 23,202.49

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Solution

The fourth proportional to 75,807.13, 113,670.50 and 23,202.49 is: 34,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807.13 : 113,670.50 = 23,202.49 : x
  2. Step 2: Convert to fraction form
    75,807.13/113,670.50 = 23,202.49/x
  3. Step 3: Cross multiply
    75,807.13x = 113,670.50 × 23,202.49
  4. Step 4: Simplify right side
    75,807.13x = 2,637,438,639.55
  5. Step 5: Solve for x
    x = 2,637,438,639.55/75,807.13
  6. Step 6: Final answer
    x = 34,791.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.