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Finding the Fourth Proportional to 75,092.36, 103,623.36 and 42,822.24

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Solution

The fourth proportional to 75,092.36, 103,623.36 and 42,822.24 is: 59,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092.36 : 103,623.36 = 42,822.24 : x
  2. Step 2: Convert to fraction form
    75,092.36/103,623.36 = 42,822.24/x
  3. Step 3: Cross multiply
    75,092.36x = 103,623.36 × 42,822.24
  4. Step 4: Simplify right side
    75,092.36x = 4,437,384,391.53
  5. Step 5: Solve for x
    x = 4,437,384,391.53/75,092.36
  6. Step 6: Final answer
    x = 59,092.35

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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.