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Finding the Fourth Proportional to 29,419, 40,570.28 and 19,355.98

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Solution

The fourth proportional to 29,419, 40,570.28 and 19,355.98 is: 26,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419 : 40,570.28 = 19,355.98 : x
  2. Step 2: Convert to fraction form
    29,419/40,570.28 = 19,355.98/x
  3. Step 3: Cross multiply
    29,419x = 40,570.28 × 19,355.98
  4. Step 4: Simplify right side
    29,419x = 785,277,528.27
  5. Step 5: Solve for x
    x = 785,277,528.27/29,419
  6. Step 6: Final answer
    x = 26,692.87

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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.