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Finding the Fourth Proportional to 68,184.32, 102,274.05 and 23,810.90

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Solution

The fourth proportional to 68,184.32, 102,274.05 and 23,810.90 is: 35,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,184.32 : 102,274.05 = 23,810.90 : x
  2. Step 2: Convert to fraction form
    68,184.32/102,274.05 = 23,810.90/x
  3. Step 3: Cross multiply
    68,184.32x = 102,274.05 × 23,810.90
  4. Step 4: Simplify right side
    68,184.32x = 2,435,237,177.15
  5. Step 5: Solve for x
    x = 2,435,237,177.15/68,184.32
  6. Step 6: Final answer
    x = 35,715.50

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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.