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Finding the Fourth Proportional to 57,617.06, 86,429.01 and 16,064.06

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Solution

The fourth proportional to 57,617.06, 86,429.01 and 16,064.06 is: 24,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,617.06 : 86,429.01 = 16,064.06 : x
  2. Step 2: Convert to fraction form
    57,617.06/86,429.01 = 16,064.06/x
  3. Step 3: Cross multiply
    57,617.06x = 86,429.01 × 16,064.06
  4. Step 4: Simplify right side
    57,617.06x = 1,388,400,802.38
  5. Step 5: Solve for x
    x = 1,388,400,802.38/57,617.06
  6. Step 6: Final answer
    x = 24,097.04

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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.