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Finding the Fourth Proportional to 35,722.50, 53,579.63 and 9,429.30

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Solution

The fourth proportional to 35,722.50, 53,579.63 and 9,429.30 is: 14,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.50 : 53,579.63 = 9,429.30 : x
  2. Step 2: Convert to fraction form
    35,722.50/53,579.63 = 9,429.30/x
  3. Step 3: Cross multiply
    35,722.50x = 53,579.63 × 9,429.30
  4. Step 4: Simplify right side
    35,722.50x = 505,218,358.01
  5. Step 5: Solve for x
    x = 505,218,358.01/35,722.50
  6. Step 6: Final answer
    x = 14,142.86

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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.