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Finding the Fourth Proportional to 34,896.38, 48,157.02 and 19,784.21

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Solution

The fourth proportional to 34,896.38, 48,157.02 and 19,784.21 is: 27,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896.38 : 48,157.02 = 19,784.21 : x
  2. Step 2: Convert to fraction form
    34,896.38/48,157.02 = 19,784.21/x
  3. Step 3: Cross multiply
    34,896.38x = 48,157.02 × 19,784.21
  4. Step 4: Simplify right side
    34,896.38x = 952,748,355.87
  5. Step 5: Solve for x
    x = 952,748,355.87/34,896.38
  6. Step 6: Final answer
    x = 27,302.22

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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.