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Finding the Fourth Proportional to 29,643.57, 44,451.36 and 9,916.83

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Solution

The fourth proportional to 29,643.57, 44,451.36 and 9,916.83 is: 14,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.57 : 44,451.36 = 9,916.83 : x
  2. Step 2: Convert to fraction form
    29,643.57/44,451.36 = 9,916.83/x
  3. Step 3: Cross multiply
    29,643.57x = 44,451.36 × 9,916.83
  4. Step 4: Simplify right side
    29,643.57x = 440,816,580.39
  5. Step 5: Solve for x
    x = 440,816,580.39/29,643.57
  6. Step 6: Final answer
    x = 14,870.56

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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.