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Finding the Fourth Proportional to 109,635.60, 164,480.40 and 30,748.80

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Solution

The fourth proportional to 109,635.60, 164,480.40 and 30,748.80 is: 46,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,635.60 : 164,480.40 = 30,748.80 : x
  2. Step 2: Convert to fraction form
    109,635.60/164,480.40 = 30,748.80/x
  3. Step 3: Cross multiply
    109,635.60x = 164,480.40 × 30,748.80
  4. Step 4: Simplify right side
    109,635.60x = 5,057,574,923.52
  5. Step 5: Solve for x
    x = 5,057,574,923.52/109,635.60
  6. Step 6: Final answer
    x = 46,130.77

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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.