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Finding the Fourth Proportional to 110,468.70, 165,730.65 and 35,595.90

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Solution

The fourth proportional to 110,468.70, 165,730.65 and 35,595.90 is: 53,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,468.70 : 165,730.65 = 35,595.90 : x
  2. Step 2: Convert to fraction form
    110,468.70/165,730.65 = 35,595.90/x
  3. Step 3: Cross multiply
    110,468.70x = 165,730.65 × 35,595.90
  4. Step 4: Simplify right side
    110,468.70x = 5,899,331,644.34
  5. Step 5: Solve for x
    x = 5,899,331,644.34/110,468.70
  6. Step 6: Final answer
    x = 53,402.74

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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.