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Finding the Fourth Proportional to 47,777.58, 65,713.86 and 38,325.42

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Solution

The fourth proportional to 47,777.58, 65,713.86 and 38,325.42 is: 52,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.58 : 65,713.86 = 38,325.42 : x
  2. Step 2: Convert to fraction form
    47,777.58/65,713.86 = 38,325.42/x
  3. Step 3: Cross multiply
    47,777.58x = 65,713.86 × 38,325.42
  4. Step 4: Simplify right side
    47,777.58x = 2,518,511,284.32
  5. Step 5: Solve for x
    x = 2,518,511,284.32/47,777.58
  6. Step 6: Final answer
    x = 52,713.25

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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.