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Finding the Fourth Proportional to 30,818.50, 42,531.05 and 18,882.49

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Solution

The fourth proportional to 30,818.50, 42,531.05 and 18,882.49 is: 26,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.50 : 42,531.05 = 18,882.49 : x
  2. Step 2: Convert to fraction form
    30,818.50/42,531.05 = 18,882.49/x
  3. Step 3: Cross multiply
    30,818.50x = 42,531.05 × 18,882.49
  4. Step 4: Simplify right side
    30,818.50x = 803,092,126.31
  5. Step 5: Solve for x
    x = 803,092,126.31/30,818.50
  6. Step 6: Final answer
    x = 26,058.77

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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.