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Finding the Fourth Proportional to 35,702.00, 49,267.67 and 19,568.96

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Solution

The fourth proportional to 35,702.00, 49,267.67 and 19,568.96 is: 27,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.00 : 49,267.67 = 19,568.96 : x
  2. Step 2: Convert to fraction form
    35,702.00/49,267.67 = 19,568.96/x
  3. Step 3: Cross multiply
    35,702.00x = 49,267.67 × 19,568.96
  4. Step 4: Simplify right side
    35,702.00x = 964,116,817.18
  5. Step 5: Solve for x
    x = 964,116,817.18/35,702.00
  6. Step 6: Final answer
    x = 27,004.56

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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.