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Finding the Fourth Proportional to 30,714.96, 42,392.44 and 19,235.20

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Solution

The fourth proportional to 30,714.96, 42,392.44 and 19,235.20 is: 26,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.96 : 42,392.44 = 19,235.20 : x
  2. Step 2: Convert to fraction form
    30,714.96/42,392.44 = 19,235.20/x
  3. Step 3: Cross multiply
    30,714.96x = 42,392.44 × 19,235.20
  4. Step 4: Simplify right side
    30,714.96x = 815,427,061.89
  5. Step 5: Solve for x
    x = 815,427,061.89/30,714.96
  6. Step 6: Final answer
    x = 26,548.21

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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.