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Finding the Fourth Proportional to 35,694.68, 49,261.57 and 19,784.25

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Solution

The fourth proportional to 35,694.68, 49,261.57 and 19,784.25 is: 27,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.68 : 49,261.57 = 19,784.25 : x
  2. Step 2: Convert to fraction form
    35,694.68/49,261.57 = 19,784.25/x
  3. Step 3: Cross multiply
    35,694.68x = 49,261.57 × 19,784.25
  4. Step 4: Simplify right side
    35,694.68x = 974,603,166.81
  5. Step 5: Solve for x
    x = 974,603,166.81/35,694.68
  6. Step 6: Final answer
    x = 27,303.88

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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.