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Finding the Fourth Proportional to 52,784.32, 79,164 and 15,334.40

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Solution

The fourth proportional to 52,784.32, 79,164 and 15,334.40 is: 22,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.32 : 79,164 = 15,334.40 : x
  2. Step 2: Convert to fraction form
    52,784.32/79,164 = 15,334.40/x
  3. Step 3: Cross multiply
    52,784.32x = 79,164 × 15,334.40
  4. Step 4: Simplify right side
    52,784.32x = 1,213,932,441.60
  5. Step 5: Solve for x
    x = 1,213,932,441.60/52,784.32
  6. Step 6: Final answer
    x = 22,997.97

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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.