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Finding the Fourth Proportional to 110,094.88, 165,142.32 and 47,764

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Solution

The fourth proportional to 110,094.88, 165,142.32 and 47,764 is: 71,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,094.88 : 165,142.32 = 47,764 : x
  2. Step 2: Convert to fraction form
    110,094.88/165,142.32 = 47,764/x
  3. Step 3: Cross multiply
    110,094.88x = 165,142.32 × 47,764
  4. Step 4: Simplify right side
    110,094.88x = 7,887,857,772.48
  5. Step 5: Solve for x
    x = 7,887,857,772.48/110,094.88
  6. Step 6: Final answer
    x = 71,646

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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.