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Finding the Fourth Proportional to 47,778.58, 65,715.24 and 38,326.42

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Solution

The fourth proportional to 47,778.58, 65,715.24 and 38,326.42 is: 52,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,778.58 : 65,715.24 = 38,326.42 : x
  2. Step 2: Convert to fraction form
    47,778.58/65,715.24 = 38,326.42/x
  3. Step 3: Cross multiply
    47,778.58x = 65,715.24 × 38,326.42
  4. Step 4: Simplify right side
    47,778.58x = 2,518,629,888.64
  5. Step 5: Solve for x
    x = 2,518,629,888.64/47,778.58
  6. Step 6: Final answer
    x = 52,714.62

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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.