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Finding the Fourth Proportional to 56,153.64, 84,230.19 and 22,865.88

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Solution

The fourth proportional to 56,153.64, 84,230.19 and 22,865.88 is: 34,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,153.64 : 84,230.19 = 22,865.88 : x
  2. Step 2: Convert to fraction form
    56,153.64/84,230.19 = 22,865.88/x
  3. Step 3: Cross multiply
    56,153.64x = 84,230.19 × 22,865.88
  4. Step 4: Simplify right side
    56,153.64x = 1,925,997,416.92
  5. Step 5: Solve for x
    x = 1,925,997,416.92/56,153.64
  6. Step 6: Final answer
    x = 34,298.71

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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.