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Finding the Fourth Proportional to 56,163.24, 84,244.86 and 14,607

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Solution

The fourth proportional to 56,163.24, 84,244.86 and 14,607 is: 21,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,163.24 : 84,244.86 = 14,607 : x
  2. Step 2: Convert to fraction form
    56,163.24/84,244.86 = 14,607/x
  3. Step 3: Cross multiply
    56,163.24x = 84,244.86 × 14,607
  4. Step 4: Simplify right side
    56,163.24x = 1,230,564,670.02
  5. Step 5: Solve for x
    x = 1,230,564,670.02/56,163.24
  6. Step 6: Final answer
    x = 21,910.50

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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.