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Finding the Fourth Proportional to 47,656.50, 71,434.86 and 16,055.64

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Solution

The fourth proportional to 47,656.50, 71,434.86 and 16,055.64 is: 24,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.50 : 71,434.86 = 16,055.64 : x
  2. Step 2: Convert to fraction form
    47,656.50/71,434.86 = 16,055.64/x
  3. Step 3: Cross multiply
    47,656.50x = 71,434.86 × 16,055.64
  4. Step 4: Simplify right side
    47,656.50x = 1,146,932,174.58
  5. Step 5: Solve for x
    x = 1,146,932,174.58/47,656.50
  6. Step 6: Final answer
    x = 24,066.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.