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Finding the Fourth Proportional to 57,886.74, 86,840.43 and 20,468.53

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Solution

The fourth proportional to 57,886.74, 86,840.43 and 20,468.53 is: 30,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.74 : 86,840.43 = 20,468.53 : x
  2. Step 2: Convert to fraction form
    57,886.74/86,840.43 = 20,468.53/x
  3. Step 3: Cross multiply
    57,886.74x = 86,840.43 × 20,468.53
  4. Step 4: Simplify right side
    57,886.74x = 1,777,495,946.67
  5. Step 5: Solve for x
    x = 1,777,495,946.67/57,886.74
  6. Step 6: Final answer
    x = 30,706.44

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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.