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Finding the Fourth Proportional to 56,133.24, 84,139.59 and 27,997.71

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Solution

The fourth proportional to 56,133.24, 84,139.59 and 27,997.71 is: 41,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,133.24 : 84,139.59 = 27,997.71 : x
  2. Step 2: Convert to fraction form
    56,133.24/84,139.59 = 27,997.71/x
  3. Step 3: Cross multiply
    56,133.24x = 84,139.59 × 27,997.71
  4. Step 4: Simplify right side
    56,133.24x = 2,355,715,840.34
  5. Step 5: Solve for x
    x = 2,355,715,840.34/56,133.24
  6. Step 6: Final answer
    x = 41,966.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.