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Finding the Fourth Proportional to 32,008.36, 47,997.66 and 9,816.04

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Solution

The fourth proportional to 32,008.36, 47,997.66 and 9,816.04 is: 14,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.36 : 47,997.66 = 9,816.04 : x
  2. Step 2: Convert to fraction form
    32,008.36/47,997.66 = 9,816.04/x
  3. Step 3: Cross multiply
    32,008.36x = 47,997.66 × 9,816.04
  4. Step 4: Simplify right side
    32,008.36x = 471,146,950.47
  5. Step 5: Solve for x
    x = 471,146,950.47/32,008.36
  6. Step 6: Final answer
    x = 14,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.