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Finding the Fourth Proportional to 30,878.48, 42,613.10 and 18,948.41

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Solution

The fourth proportional to 30,878.48, 42,613.10 and 18,948.41 is: 26,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.48 : 42,613.10 = 18,948.41 : x
  2. Step 2: Convert to fraction form
    30,878.48/42,613.10 = 18,948.41/x
  3. Step 3: Cross multiply
    30,878.48x = 42,613.10 × 18,948.41
  4. Step 4: Simplify right side
    30,878.48x = 807,450,395.43
  5. Step 5: Solve for x
    x = 807,450,395.43/30,878.48
  6. Step 6: Final answer
    x = 26,149.29

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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.