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Finding the Fourth Proportional to 59,696.48, 82,383.16 and 32,840

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Solution

The fourth proportional to 59,696.48, 82,383.16 and 32,840 is: 45,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,696.48 : 82,383.16 = 32,840 : x
  2. Step 2: Convert to fraction form
    59,696.48/82,383.16 = 32,840/x
  3. Step 3: Cross multiply
    59,696.48x = 82,383.16 × 32,840
  4. Step 4: Simplify right side
    59,696.48x = 2,705,462,974.40
  5. Step 5: Solve for x
    x = 2,705,462,974.40/59,696.48
  6. Step 6: Final answer
    x = 45,320.31

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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.