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Finding the Fourth Proportional to 32,149.34, 48,223.56 and 19,502.11

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Solution

The fourth proportional to 32,149.34, 48,223.56 and 19,502.11 is: 29,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.34 : 48,223.56 = 19,502.11 : x
  2. Step 2: Convert to fraction form
    32,149.34/48,223.56 = 19,502.11/x
  3. Step 3: Cross multiply
    32,149.34x = 48,223.56 × 19,502.11
  4. Step 4: Simplify right side
    32,149.34x = 940,461,171.71
  5. Step 5: Solve for x
    x = 940,461,171.71/32,149.34
  6. Step 6: Final answer
    x = 29,252.89

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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.