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Finding the Fourth Proportional to 32,918.47, 49,368.89 and 9,224.69

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Solution

The fourth proportional to 32,918.47, 49,368.89 and 9,224.69 is: 13,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918.47 : 49,368.89 = 9,224.69 : x
  2. Step 2: Convert to fraction form
    32,918.47/49,368.89 = 9,224.69/x
  3. Step 3: Cross multiply
    32,918.47x = 49,368.89 × 9,224.69
  4. Step 4: Simplify right side
    32,918.47x = 455,412,482.11
  5. Step 5: Solve for x
    x = 455,412,482.11/32,918.47
  6. Step 6: Final answer
    x = 13,834.56

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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.