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Finding the Fourth Proportional to 57,953.63, 86,930.45 and 31,644.02

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Solution

The fourth proportional to 57,953.63, 86,930.45 and 31,644.02 is: 47,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,953.63 : 86,930.45 = 31,644.02 : x
  2. Step 2: Convert to fraction form
    57,953.63/86,930.45 = 31,644.02/x
  3. Step 3: Cross multiply
    57,953.63x = 86,930.45 × 31,644.02
  4. Step 4: Simplify right side
    57,953.63x = 2,750,829,076.18
  5. Step 5: Solve for x
    x = 2,750,829,076.18/57,953.63
  6. Step 6: Final answer
    x = 47,466.03

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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.