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Finding the Fourth Proportional to 110,214.76, 165,223.05 and 40,045

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Solution

The fourth proportional to 110,214.76, 165,223.05 and 40,045 is: 60,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214.76 : 165,223.05 = 40,045 : x
  2. Step 2: Convert to fraction form
    110,214.76/165,223.05 = 40,045/x
  3. Step 3: Cross multiply
    110,214.76x = 165,223.05 × 40,045
  4. Step 4: Simplify right side
    110,214.76x = 6,616,357,037.25
  5. Step 5: Solve for x
    x = 6,616,357,037.25/110,214.76
  6. Step 6: Final answer
    x = 60,031.50

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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.