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Finding the Fourth Proportional to 76,464.48, 114,653.52 and 31,473.30

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Solution

The fourth proportional to 76,464.48, 114,653.52 and 31,473.30 is: 47,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.48 : 114,653.52 = 31,473.30 : x
  2. Step 2: Convert to fraction form
    76,464.48/114,653.52 = 31,473.30/x
  3. Step 3: Cross multiply
    76,464.48x = 114,653.52 × 31,473.30
  4. Step 4: Simplify right side
    76,464.48x = 3,608,524,631.02
  5. Step 5: Solve for x
    x = 3,608,524,631.02/76,464.48
  6. Step 6: Final answer
    x = 47,192.17

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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.