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Finding the Fourth Proportional to 32,883.78, 49,335.38 and 9,510.42

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Solution

The fourth proportional to 32,883.78, 49,335.38 and 9,510.42 is: 14,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.78 : 49,335.38 = 9,510.42 : x
  2. Step 2: Convert to fraction form
    32,883.78/49,335.38 = 9,510.42/x
  3. Step 3: Cross multiply
    32,883.78x = 49,335.38 × 9,510.42
  4. Step 4: Simplify right side
    32,883.78x = 469,200,184.66
  5. Step 5: Solve for x
    x = 469,200,184.66/32,883.78
  6. Step 6: Final answer
    x = 14,268.44

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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.