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Finding the Fourth Proportional to 30,539.39, 42,125.72 and 20,191.10

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Solution

The fourth proportional to 30,539.39, 42,125.72 and 20,191.10 is: 27,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.39 : 42,125.72 = 20,191.10 : x
  2. Step 2: Convert to fraction form
    30,539.39/42,125.72 = 20,191.10/x
  3. Step 3: Cross multiply
    30,539.39x = 42,125.72 × 20,191.10
  4. Step 4: Simplify right side
    30,539.39x = 850,564,464.94
  5. Step 5: Solve for x
    x = 850,564,464.94/30,539.39
  6. Step 6: Final answer
    x = 27,851.39

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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.