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Finding the Fourth Proportional to 32,045.15, 48,067.83 and 9,858.37

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Solution

The fourth proportional to 32,045.15, 48,067.83 and 9,858.37 is: 14,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.15 : 48,067.83 = 9,858.37 : x
  2. Step 2: Convert to fraction form
    32,045.15/48,067.83 = 9,858.37/x
  3. Step 3: Cross multiply
    32,045.15x = 48,067.83 × 9,858.37
  4. Step 4: Simplify right side
    32,045.15x = 473,870,333.07
  5. Step 5: Solve for x
    x = 473,870,333.07/32,045.15
  6. Step 6: Final answer
    x = 14,787.59

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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.