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Finding the Fourth Proportional to 32,053.56, 48,085.83 and 9,866.49

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Solution

The fourth proportional to 32,053.56, 48,085.83 and 9,866.49 is: 14,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.56 : 48,085.83 = 9,866.49 : x
  2. Step 2: Convert to fraction form
    32,053.56/48,085.83 = 9,866.49/x
  3. Step 3: Cross multiply
    32,053.56x = 48,085.83 × 9,866.49
  4. Step 4: Simplify right side
    32,053.56x = 474,438,360.84
  5. Step 5: Solve for x
    x = 474,438,360.84/32,053.56
  6. Step 6: Final answer
    x = 14,801.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.