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Finding the Fourth Proportional to 32,931.33, 49,406.24 and 13,223.72

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Solution

The fourth proportional to 32,931.33, 49,406.24 and 13,223.72 is: 19,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.33 : 49,406.24 = 13,223.72 : x
  2. Step 2: Convert to fraction form
    32,931.33/49,406.24 = 13,223.72/x
  3. Step 3: Cross multiply
    32,931.33x = 49,406.24 × 13,223.72
  4. Step 4: Simplify right side
    32,931.33x = 653,334,366.20
  5. Step 5: Solve for x
    x = 653,334,366.20/32,931.33
  6. Step 6: Final answer
    x = 19,839.30

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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.