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Finding the Fourth Proportional to 97,801.68, 146,630.56 and 31,203.48

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Solution

The fourth proportional to 97,801.68, 146,630.56 and 31,203.48 is: 46,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801.68 : 146,630.56 = 31,203.48 : x
  2. Step 2: Convert to fraction form
    97,801.68/146,630.56 = 31,203.48/x
  3. Step 3: Cross multiply
    97,801.68x = 146,630.56 × 31,203.48
  4. Step 4: Simplify right side
    97,801.68x = 4,575,383,746.35
  5. Step 5: Solve for x
    x = 4,575,383,746.35/97,801.68
  6. Step 6: Final answer
    x = 46,782.26

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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.