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Finding the Fourth Proportional to 38,714.98, 53,078.84 and 38,015.14

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Solution

The fourth proportional to 38,714.98, 53,078.84 and 38,015.14 is: 52,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.98 : 53,078.84 = 38,015.14 : x
  2. Step 2: Convert to fraction form
    38,714.98/53,078.84 = 38,015.14/x
  3. Step 3: Cross multiply
    38,714.98x = 53,078.84 × 38,015.14
  4. Step 4: Simplify right side
    38,714.98x = 2,017,799,533.64
  5. Step 5: Solve for x
    x = 2,017,799,533.64/38,714.98
  6. Step 6: Final answer
    x = 52,119.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.