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Finding the Fourth Proportional to 76,477.43, 105,509.38 and 56,382.09

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Solution

The fourth proportional to 76,477.43, 105,509.38 and 56,382.09 is: 77,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.43 : 105,509.38 = 56,382.09 : x
  2. Step 2: Convert to fraction form
    76,477.43/105,509.38 = 56,382.09/x
  3. Step 3: Cross multiply
    76,477.43x = 105,509.38 × 56,382.09
  4. Step 4: Simplify right side
    76,477.43x = 5,948,839,359.00
  5. Step 5: Solve for x
    x = 5,948,839,359.00/76,477.43
  6. Step 6: Final answer
    x = 77,785.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.