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Finding the Fourth Proportional to 30,593.34, 42,218.11 and 17,164.28

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Solution

The fourth proportional to 30,593.34, 42,218.11 and 17,164.28 is: 23,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.34 : 42,218.11 = 17,164.28 : x
  2. Step 2: Convert to fraction form
    30,593.34/42,218.11 = 17,164.28/x
  3. Step 3: Cross multiply
    30,593.34x = 42,218.11 × 17,164.28
  4. Step 4: Simplify right side
    30,593.34x = 724,643,588.11
  5. Step 5: Solve for x
    x = 724,643,588.11/30,593.34
  6. Step 6: Final answer
    x = 23,686.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.