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Finding the Fourth Proportional to 68,085.40, 102,103.80 and 23,713.60

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Solution

The fourth proportional to 68,085.40, 102,103.80 and 23,713.60 is: 35,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,085.40 : 102,103.80 = 23,713.60 : x
  2. Step 2: Convert to fraction form
    68,085.40/102,103.80 = 23,713.60/x
  3. Step 3: Cross multiply
    68,085.40x = 102,103.80 × 23,713.60
  4. Step 4: Simplify right side
    68,085.40x = 2,421,248,671.68
  5. Step 5: Solve for x
    x = 2,421,248,671.68/68,085.40
  6. Step 6: Final answer
    x = 35,561.94

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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.