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Finding the Fourth Proportional to 109,913.60, 164,879.68 and 35,044.40

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Solution

The fourth proportional to 109,913.60, 164,879.68 and 35,044.40 is: 52,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913.60 : 164,879.68 = 35,044.40 : x
  2. Step 2: Convert to fraction form
    109,913.60/164,879.68 = 35,044.40/x
  3. Step 3: Cross multiply
    109,913.60x = 164,879.68 × 35,044.40
  4. Step 4: Simplify right side
    109,913.60x = 5,778,109,457.79
  5. Step 5: Solve for x
    x = 5,778,109,457.79/109,913.60
  6. Step 6: Final answer
    x = 52,569.56

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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.