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Finding the Fourth Proportional to 75,598.31, 104,325.77 and 42,064.31

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Solution

The fourth proportional to 75,598.31, 104,325.77 and 42,064.31 is: 58,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598.31 : 104,325.77 = 42,064.31 : x
  2. Step 2: Convert to fraction form
    75,598.31/104,325.77 = 42,064.31/x
  3. Step 3: Cross multiply
    75,598.31x = 104,325.77 × 42,064.31
  4. Step 4: Simplify right side
    75,598.31x = 4,388,391,896.24
  5. Step 5: Solve for x
    x = 4,388,391,896.24/75,598.31
  6. Step 6: Final answer
    x = 58,048.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.