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Finding the Fourth Proportional to 75,231.96, 103,823.48 and 42,969.39

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Solution

The fourth proportional to 75,231.96, 103,823.48 and 42,969.39 is: 59,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231.96 : 103,823.48 = 42,969.39 : x
  2. Step 2: Convert to fraction form
    75,231.96/103,823.48 = 42,969.39/x
  3. Step 3: Cross multiply
    75,231.96x = 103,823.48 × 42,969.39
  4. Step 4: Simplify right side
    75,231.96x = 4,461,231,603.28
  5. Step 5: Solve for x
    x = 4,461,231,603.28/75,231.96
  6. Step 6: Final answer
    x = 59,299.69

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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.