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Finding the Fourth Proportional to 42,005.81, 57,968.03 and 24,100.07

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Solution

The fourth proportional to 42,005.81, 57,968.03 and 24,100.07 is: 33,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.81 : 57,968.03 = 24,100.07 : x
  2. Step 2: Convert to fraction form
    42,005.81/57,968.03 = 24,100.07/x
  3. Step 3: Cross multiply
    42,005.81x = 57,968.03 × 24,100.07
  4. Step 4: Simplify right side
    42,005.81x = 1,397,033,351.17
  5. Step 5: Solve for x
    x = 1,397,033,351.17/42,005.81
  6. Step 6: Final answer
    x = 33,258.10

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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.