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Finding the Fourth Proportional to 110,094.08, 165,141.12 and 44,384

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Solution

The fourth proportional to 110,094.08, 165,141.12 and 44,384 is: 66,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,094.08 : 165,141.12 = 44,384 : x
  2. Step 2: Convert to fraction form
    110,094.08/165,141.12 = 44,384/x
  3. Step 3: Cross multiply
    110,094.08x = 165,141.12 × 44,384
  4. Step 4: Simplify right side
    110,094.08x = 7,329,623,470.08
  5. Step 5: Solve for x
    x = 7,329,623,470.08/110,094.08
  6. Step 6: Final answer
    x = 66,576

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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.