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Finding the Fourth Proportional to 92,824.16, 128,103.24 and 52,522.64

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Solution

The fourth proportional to 92,824.16, 128,103.24 and 52,522.64 is: 72,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824.16 : 128,103.24 = 52,522.64 : x
  2. Step 2: Convert to fraction form
    92,824.16/128,103.24 = 52,522.64/x
  3. Step 3: Cross multiply
    92,824.16x = 128,103.24 × 52,522.64
  4. Step 4: Simplify right side
    92,824.16x = 6,728,320,357.35
  5. Step 5: Solve for x
    x = 6,728,320,357.35/92,824.16
  6. Step 6: Final answer
    x = 72,484.58

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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.