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Finding the Fourth Proportional to 68,461.40, 102,692.10 and 19,213.40

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Solution

The fourth proportional to 68,461.40, 102,692.10 and 19,213.40 is: 28,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461.40 : 102,692.10 = 19,213.40 : x
  2. Step 2: Convert to fraction form
    68,461.40/102,692.10 = 19,213.40/x
  3. Step 3: Cross multiply
    68,461.40x = 102,692.10 × 19,213.40
  4. Step 4: Simplify right side
    68,461.40x = 1,973,064,394.14
  5. Step 5: Solve for x
    x = 1,973,064,394.14/68,461.40
  6. Step 6: Final answer
    x = 28,820.10

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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.