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Finding the Fourth Proportional to 30,744.98, 42,434.25 and 20,130.74

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Solution

The fourth proportional to 30,744.98, 42,434.25 and 20,130.74 is: 27,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.98 : 42,434.25 = 20,130.74 : x
  2. Step 2: Convert to fraction form
    30,744.98/42,434.25 = 20,130.74/x
  3. Step 3: Cross multiply
    30,744.98x = 42,434.25 × 20,130.74
  4. Step 4: Simplify right side
    30,744.98x = 854,232,853.85
  5. Step 5: Solve for x
    x = 854,232,853.85/30,744.98
  6. Step 6: Final answer
    x = 27,784.47

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