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Finding the Fourth Proportional to 32,933.04, 49,410.54 and 21,883.20

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Solution

The fourth proportional to 32,933.04, 49,410.54 and 21,883.20 is: 32,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933.04 : 49,410.54 = 21,883.20 : x
  2. Step 2: Convert to fraction form
    32,933.04/49,410.54 = 21,883.20/x
  3. Step 3: Cross multiply
    32,933.04x = 49,410.54 × 21,883.20
  4. Step 4: Simplify right side
    32,933.04x = 1,081,260,728.93
  5. Step 5: Solve for x
    x = 1,081,260,728.93/32,933.04
  6. Step 6: Final answer
    x = 32,832.10

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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.