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Finding the Fourth Proportional to 35,722.62, 53,583.12 and 9,429.21

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Solution

The fourth proportional to 35,722.62, 53,583.12 and 9,429.21 is: 14,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.62 : 53,583.12 = 9,429.21 : x
  2. Step 2: Convert to fraction form
    35,722.62/53,583.12 = 9,429.21/x
  3. Step 3: Cross multiply
    35,722.62x = 53,583.12 × 9,429.21
  4. Step 4: Simplify right side
    35,722.62x = 505,246,490.94
  5. Step 5: Solve for x
    x = 505,246,490.94/35,722.62
  6. Step 6: Final answer
    x = 14,143.60

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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.