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Finding the Fourth Proportional to 101,161.31, 151,746.29 and 31,043.39

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Solution

The fourth proportional to 101,161.31, 151,746.29 and 31,043.39 is: 46,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,161.31 : 151,746.29 = 31,043.39 : x
  2. Step 2: Convert to fraction form
    101,161.31/151,746.29 = 31,043.39/x
  3. Step 3: Cross multiply
    101,161.31x = 151,746.29 × 31,043.39
  4. Step 4: Simplify right side
    101,161.31x = 4,710,719,261.52
  5. Step 5: Solve for x
    x = 4,710,719,261.52/101,161.31
  6. Step 6: Final answer
    x = 46,566.41

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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.