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Finding the Fourth Proportional to 32,020.78, 48,029.91 and 9,833.02

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Solution

The fourth proportional to 32,020.78, 48,029.91 and 9,833.02 is: 14,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.78 : 48,029.91 = 9,833.02 : x
  2. Step 2: Convert to fraction form
    32,020.78/48,029.91 = 9,833.02/x
  3. Step 3: Cross multiply
    32,020.78x = 48,029.91 × 9,833.02
  4. Step 4: Simplify right side
    32,020.78x = 472,279,065.63
  5. Step 5: Solve for x
    x = 472,279,065.63/32,020.78
  6. Step 6: Final answer
    x = 14,749.14

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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.