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Finding the Fourth Proportional to 35,692.96, 49,259.12 and 19,778.92

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Solution

The fourth proportional to 35,692.96, 49,259.12 and 19,778.92 is: 27,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.96 : 49,259.12 = 19,778.92 : x
  2. Step 2: Convert to fraction form
    35,692.96/49,259.12 = 19,778.92/x
  3. Step 3: Cross multiply
    35,692.96x = 49,259.12 × 19,778.92
  4. Step 4: Simplify right side
    35,692.96x = 974,292,193.75
  5. Step 5: Solve for x
    x = 974,292,193.75/35,692.96
  6. Step 6: Final answer
    x = 27,296.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.