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Finding the Fourth Proportional to 110,354.48, 165,533.24 and 31,468.68

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Solution

The fourth proportional to 110,354.48, 165,533.24 and 31,468.68 is: 47,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,354.48 : 165,533.24 = 31,468.68 : x
  2. Step 2: Convert to fraction form
    110,354.48/165,533.24 = 31,468.68/x
  3. Step 3: Cross multiply
    110,354.48x = 165,533.24 × 31,468.68
  4. Step 4: Simplify right side
    110,354.48x = 5,209,112,401.58
  5. Step 5: Solve for x
    x = 5,209,112,401.58/110,354.48
  6. Step 6: Final answer
    x = 47,203.45

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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.