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Finding the Fourth Proportional to 42,854, 59,138.54 and 23,991.52

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Solution

The fourth proportional to 42,854, 59,138.54 and 23,991.52 is: 33,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854 : 59,138.54 = 23,991.52 : x
  2. Step 2: Convert to fraction form
    42,854/59,138.54 = 23,991.52/x
  3. Step 3: Cross multiply
    42,854x = 59,138.54 × 23,991.52
  4. Step 4: Simplify right side
    42,854x = 1,418,823,465.18
  5. Step 5: Solve for x
    x = 1,418,823,465.18/42,854
  6. Step 6: Final answer
    x = 33,108.31

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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.