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Finding the Fourth Proportional to 56,415.71, 77,843.47 and 36,267.98

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Solution

The fourth proportional to 56,415.71, 77,843.47 and 36,267.98 is: 50,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.71 : 77,843.47 = 36,267.98 : x
  2. Step 2: Convert to fraction form
    56,415.71/77,843.47 = 36,267.98/x
  3. Step 3: Cross multiply
    56,415.71x = 77,843.47 × 36,267.98
  4. Step 4: Simplify right side
    56,415.71x = 2,823,224,933.20
  5. Step 5: Solve for x
    x = 2,823,224,933.20/56,415.71
  6. Step 6: Final answer
    x = 50,043.24

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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.