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Finding the Fourth Proportional to 32,698.13, 49,047.65 and 9,324.56

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Solution

The fourth proportional to 32,698.13, 49,047.65 and 9,324.56 is: 13,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.13 : 49,047.65 = 9,324.56 : x
  2. Step 2: Convert to fraction form
    32,698.13/49,047.65 = 9,324.56/x
  3. Step 3: Cross multiply
    32,698.13x = 49,047.65 × 9,324.56
  4. Step 4: Simplify right side
    32,698.13x = 457,347,866.25
  5. Step 5: Solve for x
    x = 457,347,866.25/32,698.13
  6. Step 6: Final answer
    x = 13,986.98

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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.