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Finding the Fourth Proportional to 56,454.80, 77,871.84 and 36,276.96

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Solution

The fourth proportional to 56,454.80, 77,871.84 and 36,276.96 is: 50,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,454.80 : 77,871.84 = 36,276.96 : x
  2. Step 2: Convert to fraction form
    56,454.80/77,871.84 = 36,276.96/x
  3. Step 3: Cross multiply
    56,454.80x = 77,871.84 × 36,276.96
  4. Step 4: Simplify right side
    56,454.80x = 2,824,953,624.81
  5. Step 5: Solve for x
    x = 2,824,953,624.81/56,454.80
  6. Step 6: Final answer
    x = 50,039.21

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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.