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Finding the Fourth Proportional to 110,302.88, 165,524.30 and 47,123.47

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Solution

The fourth proportional to 110,302.88, 165,524.30 and 47,123.47 is: 70,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,302.88 : 165,524.30 = 47,123.47 : x
  2. Step 2: Convert to fraction form
    110,302.88/165,524.30 = 47,123.47/x
  3. Step 3: Cross multiply
    110,302.88x = 165,524.30 × 47,123.47
  4. Step 4: Simplify right side
    110,302.88x = 7,800,079,385.32
  5. Step 5: Solve for x
    x = 7,800,079,385.32/110,302.88
  6. Step 6: Final answer
    x = 70,715.10

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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.