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Finding the Fourth Proportional to 30,714.33, 42,412.10 and 19,403.49

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Solution

The fourth proportional to 30,714.33, 42,412.10 and 19,403.49 is: 26,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.33 : 42,412.10 = 19,403.49 : x
  2. Step 2: Convert to fraction form
    30,714.33/42,412.10 = 19,403.49/x
  3. Step 3: Cross multiply
    30,714.33x = 42,412.10 × 19,403.49
  4. Step 4: Simplify right side
    30,714.33x = 822,942,661.21
  5. Step 5: Solve for x
    x = 822,942,661.21/30,714.33
  6. Step 6: Final answer
    x = 26,793.44

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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.