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Finding the Fourth Proportional to 30,991.74, 42,767.72 and 17,564.25

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Solution

The fourth proportional to 30,991.74, 42,767.72 and 17,564.25 is: 24,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.74 : 42,767.72 = 17,564.25 : x
  2. Step 2: Convert to fraction form
    30,991.74/42,767.72 = 17,564.25/x
  3. Step 3: Cross multiply
    30,991.74x = 42,767.72 × 17,564.25
  4. Step 4: Simplify right side
    30,991.74x = 751,182,838.19
  5. Step 5: Solve for x
    x = 751,182,838.19/30,991.74
  6. Step 6: Final answer
    x = 24,238.16

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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.