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Finding the Fourth Proportional to 32,938.12, 49,406.46 and 9,563.56

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Solution

The fourth proportional to 32,938.12, 49,406.46 and 9,563.56 is: 14,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.12 : 49,406.46 = 9,563.56 : x
  2. Step 2: Convert to fraction form
    32,938.12/49,406.46 = 9,563.56/x
  3. Step 3: Cross multiply
    32,938.12x = 49,406.46 × 9,563.56
  4. Step 4: Simplify right side
    32,938.12x = 472,501,644.60
  5. Step 5: Solve for x
    x = 472,501,644.60/32,938.12
  6. Step 6: Final answer
    x = 14,345.13

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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.