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Finding the Fourth Proportional to 42,971.92, 59,301 and 24,109

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Solution

The fourth proportional to 42,971.92, 59,301 and 24,109 is: 33,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,971.92 : 59,301 = 24,109 : x
  2. Step 2: Convert to fraction form
    42,971.92/59,301 = 24,109/x
  3. Step 3: Cross multiply
    42,971.92x = 59,301 × 24,109
  4. Step 4: Simplify right side
    42,971.92x = 1,429,687,809
  5. Step 5: Solve for x
    x = 1,429,687,809/42,971.92
  6. Step 6: Final answer
    x = 33,270.28

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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.