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Finding the Fourth Proportional to 110,506.29, 165,665.72 and 39,407.52

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Solution

The fourth proportional to 110,506.29, 165,665.72 and 39,407.52 is: 59,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.29 : 165,665.72 = 39,407.52 : x
  2. Step 2: Convert to fraction form
    110,506.29/165,665.72 = 39,407.52/x
  3. Step 3: Cross multiply
    110,506.29x = 165,665.72 × 39,407.52
  4. Step 4: Simplify right side
    110,506.29x = 6,528,475,893.98
  5. Step 5: Solve for x
    x = 6,528,475,893.98/110,506.29
  6. Step 6: Final answer
    x = 59,077.87

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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.