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Finding the Fourth Proportional to 32,776.13, 49,172.09 and 9,402.36

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Solution

The fourth proportional to 32,776.13, 49,172.09 and 9,402.36 is: 14,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.13 : 49,172.09 = 9,402.36 : x
  2. Step 2: Convert to fraction form
    32,776.13/49,172.09 = 9,402.36/x
  3. Step 3: Cross multiply
    32,776.13x = 49,172.09 × 9,402.36
  4. Step 4: Simplify right side
    32,776.13x = 462,333,645.12
  5. Step 5: Solve for x
    x = 462,333,645.12/32,776.13
  6. Step 6: Final answer
    x = 14,105.81

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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.