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Finding the Fourth Proportional to 109,911.60, 164,894.40 and 31,024.80

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Solution

The fourth proportional to 109,911.60, 164,894.40 and 31,024.80 is: 46,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,911.60 : 164,894.40 = 31,024.80 : x
  2. Step 2: Convert to fraction form
    109,911.60/164,894.40 = 31,024.80/x
  3. Step 3: Cross multiply
    109,911.60x = 164,894.40 × 31,024.80
  4. Step 4: Simplify right side
    109,911.60x = 5,115,815,781.12
  5. Step 5: Solve for x
    x = 5,115,815,781.12/109,911.60
  6. Step 6: Final answer
    x = 46,544.82

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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.