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Finding the Fourth Proportional to 32,735.69, 49,103.48 and 9,043.17

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Solution

The fourth proportional to 32,735.69, 49,103.48 and 9,043.17 is: 13,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.69 : 49,103.48 = 9,043.17 : x
  2. Step 2: Convert to fraction form
    32,735.69/49,103.48 = 9,043.17/x
  3. Step 3: Cross multiply
    32,735.69x = 49,103.48 × 9,043.17
  4. Step 4: Simplify right side
    32,735.69x = 444,051,117.23
  5. Step 5: Solve for x
    x = 444,051,117.23/32,735.69
  6. Step 6: Final answer
    x = 13,564.74

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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.