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Finding the Fourth Proportional to 32,991.30, 49,471.56 and 9,613.08

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Solution

The fourth proportional to 32,991.30, 49,471.56 and 9,613.08 is: 14,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.30 : 49,471.56 = 9,613.08 : x
  2. Step 2: Convert to fraction form
    32,991.30/49,471.56 = 9,613.08/x
  3. Step 3: Cross multiply
    32,991.30x = 49,471.56 × 9,613.08
  4. Step 4: Simplify right side
    32,991.30x = 475,574,064.00
  5. Step 5: Solve for x
    x = 475,574,064.00/32,991.30
  6. Step 6: Final answer
    x = 14,415.14

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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.