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Finding the Fourth Proportional to 32,633.19, 48,957.93 and 9,259.65

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Solution

The fourth proportional to 32,633.19, 48,957.93 and 9,259.65 is: 13,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.19 : 48,957.93 = 9,259.65 : x
  2. Step 2: Convert to fraction form
    32,633.19/48,957.93 = 9,259.65/x
  3. Step 3: Cross multiply
    32,633.19x = 48,957.93 × 9,259.65
  4. Step 4: Simplify right side
    32,633.19x = 453,333,296.52
  5. Step 5: Solve for x
    x = 453,333,296.52/32,633.19
  6. Step 6: Final answer
    x = 13,891.79

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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.