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Finding the Fourth Proportional to 53,492.88, 80,257.62 and 20,222.52

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Solution

The fourth proportional to 53,492.88, 80,257.62 and 20,222.52 is: 30,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,492.88 : 80,257.62 = 20,222.52 : x
  2. Step 2: Convert to fraction form
    53,492.88/80,257.62 = 20,222.52/x
  3. Step 3: Cross multiply
    53,492.88x = 80,257.62 × 20,222.52
  4. Step 4: Simplify right side
    53,492.88x = 1,623,011,325.60
  5. Step 5: Solve for x
    x = 1,623,011,325.60/53,492.88
  6. Step 6: Final answer
    x = 30,340.70

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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.