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Finding the Fourth Proportional to 35,692.71, 49,255.21 and 19,776.81

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Solution

The fourth proportional to 35,692.71, 49,255.21 and 19,776.81 is: 27,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.71 : 49,255.21 = 19,776.81 : x
  2. Step 2: Convert to fraction form
    35,692.71/49,255.21 = 19,776.81/x
  3. Step 3: Cross multiply
    35,692.71x = 49,255.21 × 19,776.81
  4. Step 4: Simplify right side
    35,692.71x = 974,111,027.86
  5. Step 5: Solve for x
    x = 974,111,027.86/35,692.71
  6. Step 6: Final answer
    x = 27,291.60

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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.