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Finding the Fourth Proportional to 64,757.88, 97,111.26 and 31,468.08

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Solution

The fourth proportional to 64,757.88, 97,111.26 and 31,468.08 is: 47,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,757.88 : 97,111.26 = 31,468.08 : x
  2. Step 2: Convert to fraction form
    64,757.88/97,111.26 = 31,468.08/x
  3. Step 3: Cross multiply
    64,757.88x = 97,111.26 × 31,468.08
  4. Step 4: Simplify right side
    64,757.88x = 3,055,904,898.58
  5. Step 5: Solve for x
    x = 3,055,904,898.58/64,757.88
  6. Step 6: Final answer
    x = 47,189.70

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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.