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Finding the Fourth Proportional to 56,295.64, 84,422.28 and 22,997.88

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Solution

The fourth proportional to 56,295.64, 84,422.28 and 22,997.88 is: 34,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,295.64 : 84,422.28 = 22,997.88 : x
  2. Step 2: Convert to fraction form
    56,295.64/84,422.28 = 22,997.88/x
  3. Step 3: Cross multiply
    56,295.64x = 84,422.28 × 22,997.88
  4. Step 4: Simplify right side
    56,295.64x = 1,941,533,464.77
  5. Step 5: Solve for x
    x = 1,941,533,464.77/56,295.64
  6. Step 6: Final answer
    x = 34,488.17

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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.