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Finding the Fourth Proportional to 30,881.52, 42,615.72 and 18,306

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Solution

The fourth proportional to 30,881.52, 42,615.72 and 18,306 is: 25,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.52 : 42,615.72 = 18,306 : x
  2. Step 2: Convert to fraction form
    30,881.52/42,615.72 = 18,306/x
  3. Step 3: Cross multiply
    30,881.52x = 42,615.72 × 18,306
  4. Step 4: Simplify right side
    30,881.52x = 780,123,370.32
  5. Step 5: Solve for x
    x = 780,123,370.32/30,881.52
  6. Step 6: Final answer
    x = 25,261.82

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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.