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Finding the Fourth Proportional to 35,728.81, 53,593.41 and 14,663.41

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Solution

The fourth proportional to 35,728.81, 53,593.41 and 14,663.41 is: 21,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.81 : 53,593.41 = 14,663.41 : x
  2. Step 2: Convert to fraction form
    35,728.81/53,593.41 = 14,663.41/x
  3. Step 3: Cross multiply
    35,728.81x = 53,593.41 × 14,663.41
  4. Step 4: Simplify right side
    35,728.81x = 785,862,144.13
  5. Step 5: Solve for x
    x = 785,862,144.13/35,728.81
  6. Step 6: Final answer
    x = 21,995.20

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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.