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Finding the Fourth Proportional to 56,311.61, 77,687.91 and 36,165.69

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Solution

The fourth proportional to 56,311.61, 77,687.91 and 36,165.69 is: 49,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.61 : 77,687.91 = 36,165.69 : x
  2. Step 2: Convert to fraction form
    56,311.61/77,687.91 = 36,165.69/x
  3. Step 3: Cross multiply
    56,311.61x = 77,687.91 × 36,165.69
  4. Step 4: Simplify right side
    56,311.61x = 2,809,636,869.81
  5. Step 5: Solve for x
    x = 2,809,636,869.81/56,311.61
  6. Step 6: Final answer
    x = 49,894.46

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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.