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Finding the Fourth Proportional to 76,487.94, 105,523.86 and 56,392.59

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Solution

The fourth proportional to 76,487.94, 105,523.86 and 56,392.59 is: 77,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.94 : 105,523.86 = 56,392.59 : x
  2. Step 2: Convert to fraction form
    76,487.94/105,523.86 = 56,392.59/x
  3. Step 3: Cross multiply
    76,487.94x = 105,523.86 × 56,392.59
  4. Step 4: Simplify right side
    76,487.94x = 5,950,763,772.20
  5. Step 5: Solve for x
    x = 5,950,763,772.20/76,487.94
  6. Step 6: Final answer
    x = 77,800.03

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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.