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Finding the Fourth Proportional to 101,215.48, 151,823.40 and 31,094.32

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Solution

The fourth proportional to 101,215.48, 151,823.40 and 31,094.32 is: 46,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,215.48 : 151,823.40 = 31,094.32 : x
  2. Step 2: Convert to fraction form
    101,215.48/151,823.40 = 31,094.32/x
  3. Step 3: Cross multiply
    101,215.48x = 151,823.40 × 31,094.32
  4. Step 4: Simplify right side
    101,215.48x = 4,720,845,383.09
  5. Step 5: Solve for x
    x = 4,720,845,383.09/101,215.48
  6. Step 6: Final answer
    x = 46,641.54

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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.