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Finding the Fourth Proportional to 32,675.39, 49,012.07 and 9,301.83

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Solution

The fourth proportional to 32,675.39, 49,012.07 and 9,301.83 is: 13,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.39 : 49,012.07 = 9,301.83 : x
  2. Step 2: Convert to fraction form
    32,675.39/49,012.07 = 9,301.83/x
  3. Step 3: Cross multiply
    32,675.39x = 49,012.07 × 9,301.83
  4. Step 4: Simplify right side
    32,675.39x = 455,901,943.09
  5. Step 5: Solve for x
    x = 455,901,943.09/32,675.39
  6. Step 6: Final answer
    x = 13,952.46

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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.