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Finding the Fourth Proportional to 35,737.32, 49,323.41 and 19,826.90

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Solution

The fourth proportional to 35,737.32, 49,323.41 and 19,826.90 is: 27,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.32 : 49,323.41 = 19,826.90 : x
  2. Step 2: Convert to fraction form
    35,737.32/49,323.41 = 19,826.90/x
  3. Step 3: Cross multiply
    35,737.32x = 49,323.41 × 19,826.90
  4. Step 4: Simplify right side
    35,737.32x = 977,930,231.29
  5. Step 5: Solve for x
    x = 977,930,231.29/35,737.32
  6. Step 6: Final answer
    x = 27,364.39

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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.