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Finding the Fourth Proportional to 34,603.50, 47,752.83 and 19,702.38

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Solution

The fourth proportional to 34,603.50, 47,752.83 and 19,702.38 is: 27,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.50 : 47,752.83 = 19,702.38 : x
  2. Step 2: Convert to fraction form
    34,603.50/47,752.83 = 19,702.38/x
  3. Step 3: Cross multiply
    34,603.50x = 47,752.83 × 19,702.38
  4. Step 4: Simplify right side
    34,603.50x = 940,844,402.74
  5. Step 5: Solve for x
    x = 940,844,402.74/34,603.50
  6. Step 6: Final answer
    x = 27,189.28

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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.