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Finding the Fourth Proportional to 32,001.46, 48,007.65 and 14,238.43

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Solution

The fourth proportional to 32,001.46, 48,007.65 and 14,238.43 is: 21,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.46 : 48,007.65 = 14,238.43 : x
  2. Step 2: Convert to fraction form
    32,001.46/48,007.65 = 14,238.43/x
  3. Step 3: Cross multiply
    32,001.46x = 48,007.65 × 14,238.43
  4. Step 4: Simplify right side
    32,001.46x = 683,553,563.99
  5. Step 5: Solve for x
    x = 683,553,563.99/32,001.46
  6. Step 6: Final answer
    x = 21,360.07

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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.