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Finding the Fourth Proportional to 109,970.80, 164,934.60 and 36,098.80

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Solution

The fourth proportional to 109,970.80, 164,934.60 and 36,098.80 is: 54,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.80 : 164,934.60 = 36,098.80 : x
  2. Step 2: Convert to fraction form
    109,970.80/164,934.60 = 36,098.80/x
  3. Step 3: Cross multiply
    109,970.80x = 164,934.60 × 36,098.80
  4. Step 4: Simplify right side
    109,970.80x = 5,953,941,138.48
  5. Step 5: Solve for x
    x = 5,953,941,138.48/109,970.80
  6. Step 6: Final answer
    x = 54,141.11

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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.