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Finding the Fourth Proportional to 30,637.80, 42,278.58 and 17,209.62

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Solution

The fourth proportional to 30,637.80, 42,278.58 and 17,209.62 is: 23,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,637.80 : 42,278.58 = 17,209.62 : x
  2. Step 2: Convert to fraction form
    30,637.80/42,278.58 = 17,209.62/x
  3. Step 3: Cross multiply
    30,637.80x = 42,278.58 × 17,209.62
  4. Step 4: Simplify right side
    30,637.80x = 727,598,295.94
  5. Step 5: Solve for x
    x = 727,598,295.94/30,637.80
  6. Step 6: Final answer
    x = 23,748.39

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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.