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Finding the Fourth Proportional to 42,884.69, 59,048.75 and 38,096.33

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Solution

The fourth proportional to 42,884.69, 59,048.75 and 38,096.33 is: 52,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.69 : 59,048.75 = 38,096.33 : x
  2. Step 2: Convert to fraction form
    42,884.69/59,048.75 = 38,096.33/x
  3. Step 3: Cross multiply
    42,884.69x = 59,048.75 × 38,096.33
  4. Step 4: Simplify right side
    42,884.69x = 2,249,540,180.36
  5. Step 5: Solve for x
    x = 2,249,540,180.36/42,884.69
  6. Step 6: Final answer
    x = 52,455.56

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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.