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Finding the Fourth Proportional to 109,692.63, 164,604.69 and 47,363.13

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Solution

The fourth proportional to 109,692.63, 164,604.69 and 47,363.13 is: 71,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,692.63 : 164,604.69 = 47,363.13 : x
  2. Step 2: Convert to fraction form
    109,692.63/164,604.69 = 47,363.13/x
  3. Step 3: Cross multiply
    109,692.63x = 164,604.69 × 47,363.13
  4. Step 4: Simplify right side
    109,692.63x = 7,796,193,331.08
  5. Step 5: Solve for x
    x = 7,796,193,331.08/109,692.63
  6. Step 6: Final answer
    x = 71,073.08

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1.5x scale

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.