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Finding the Fourth Proportional to 110,582.51, 165,613.32 and 73,049.49

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Solution

The fourth proportional to 110,582.51, 165,613.32 and 73,049.49 is: 109,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,582.51 : 165,613.32 = 73,049.49 : x
  2. Step 2: Convert to fraction form
    110,582.51/165,613.32 = 73,049.49/x
  3. Step 3: Cross multiply
    110,582.51x = 165,613.32 × 73,049.49
  4. Step 4: Simplify right side
    110,582.51x = 12,097,968,563.21
  5. Step 5: Solve for x
    x = 12,097,968,563.21/110,582.51
  6. Step 6: Final answer
    x = 109,402.19

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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.