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Finding the Fourth Proportional to 68,468.10, 102,702.15 and 19,220.10

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Solution

The fourth proportional to 68,468.10, 102,702.15 and 19,220.10 is: 28,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,468.10 : 102,702.15 = 19,220.10 : x
  2. Step 2: Convert to fraction form
    68,468.10/102,702.15 = 19,220.10/x
  3. Step 3: Cross multiply
    68,468.10x = 102,702.15 × 19,220.10
  4. Step 4: Simplify right side
    68,468.10x = 1,973,945,593.22
  5. Step 5: Solve for x
    x = 1,973,945,593.22/68,468.10
  6. Step 6: Final answer
    x = 28,830.15

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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.