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Finding the Fourth Proportional to 57,714.54, 86,602.26 and 40,955.82

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Solution

The fourth proportional to 57,714.54, 86,602.26 and 40,955.82 is: 61,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.54 : 86,602.26 = 40,955.82 : x
  2. Step 2: Convert to fraction form
    57,714.54/86,602.26 = 40,955.82/x
  3. Step 3: Cross multiply
    57,714.54x = 86,602.26 × 40,955.82
  4. Step 4: Simplify right side
    57,714.54x = 3,546,866,572.15
  5. Step 5: Solve for x
    x = 3,546,866,572.15/57,714.54
  6. Step 6: Final answer
    x = 61,455.34

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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.