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Finding the Fourth Proportional to 75,807.14, 113,670.50 and 23,202.50

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Solution

The fourth proportional to 75,807.14, 113,670.50 and 23,202.50 is: 34,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807.14 : 113,670.50 = 23,202.50 : x
  2. Step 2: Convert to fraction form
    75,807.14/113,670.50 = 23,202.50/x
  3. Step 3: Cross multiply
    75,807.14x = 113,670.50 × 23,202.50
  4. Step 4: Simplify right side
    75,807.14x = 2,637,439,776.25
  5. Step 5: Solve for x
    x = 2,637,439,776.25/75,807.14
  6. Step 6: Final answer
    x = 34,791.44

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Why These Related Problems?

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