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Finding the Fourth Proportional to 35,997.30, 53,989.02 and 9,695.43

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Solution

The fourth proportional to 35,997.30, 53,989.02 and 9,695.43 is: 14,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.30 : 53,989.02 = 9,695.43 : x
  2. Step 2: Convert to fraction form
    35,997.30/53,989.02 = 9,695.43/x
  3. Step 3: Cross multiply
    35,997.30x = 53,989.02 × 9,695.43
  4. Step 4: Simplify right side
    35,997.30x = 523,446,764.18
  5. Step 5: Solve for x
    x = 523,446,764.18/35,997.30
  6. Step 6: Final answer
    x = 14,541.28

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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.