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Finding the Fourth Proportional to 59,009.36, 81,423.78 and 33,854

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Solution

The fourth proportional to 59,009.36, 81,423.78 and 33,854 is: 46,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,009.36 : 81,423.78 = 33,854 : x
  2. Step 2: Convert to fraction form
    59,009.36/81,423.78 = 33,854/x
  3. Step 3: Cross multiply
    59,009.36x = 81,423.78 × 33,854
  4. Step 4: Simplify right side
    59,009.36x = 2,756,520,648.12
  5. Step 5: Solve for x
    x = 2,756,520,648.12/59,009.36
  6. Step 6: Final answer
    x = 46,713.28

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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.