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Finding the Fourth Proportional to 30,821.00, 42,532.55 and 17,209.25

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Solution

The fourth proportional to 30,821.00, 42,532.55 and 17,209.25 is: 23,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.00 : 42,532.55 = 17,209.25 : x
  2. Step 2: Convert to fraction form
    30,821.00/42,532.55 = 17,209.25/x
  3. Step 3: Cross multiply
    30,821.00x = 42,532.55 × 17,209.25
  4. Step 4: Simplify right side
    30,821.00x = 731,952,987.38
  5. Step 5: Solve for x
    x = 731,952,987.38/30,821.00
  6. Step 6: Final answer
    x = 23,748.52

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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.