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Finding the Fourth Proportional to 32,921.14, 49,386.57 and 9,544.54

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Solution

The fourth proportional to 32,921.14, 49,386.57 and 9,544.54 is: 14,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.14 : 49,386.57 = 9,544.54 : x
  2. Step 2: Convert to fraction form
    32,921.14/49,386.57 = 9,544.54/x
  3. Step 3: Cross multiply
    32,921.14x = 49,386.57 × 9,544.54
  4. Step 4: Simplify right side
    32,921.14x = 471,371,798.17
  5. Step 5: Solve for x
    x = 471,371,798.17/32,921.14
  6. Step 6: Final answer
    x = 14,318.21

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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.