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Finding the Fourth Proportional to 57,492.76, 86,239.14 and 15,939.76

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Solution

The fourth proportional to 57,492.76, 86,239.14 and 15,939.76 is: 23,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492.76 : 86,239.14 = 15,939.76 : x
  2. Step 2: Convert to fraction form
    57,492.76/86,239.14 = 15,939.76/x
  3. Step 3: Cross multiply
    57,492.76x = 86,239.14 × 15,939.76
  4. Step 4: Simplify right side
    57,492.76x = 1,374,631,194.21
  5. Step 5: Solve for x
    x = 1,374,631,194.21/57,492.76
  6. Step 6: Final answer
    x = 23,909.64

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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.