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Finding the Fourth Proportional to 49,603.52, 74,404.28 and 14,542.40

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Solution

The fourth proportional to 49,603.52, 74,404.28 and 14,542.40 is: 21,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,603.52 : 74,404.28 = 14,542.40 : x
  2. Step 2: Convert to fraction form
    49,603.52/74,404.28 = 14,542.40/x
  3. Step 3: Cross multiply
    49,603.52x = 74,404.28 × 14,542.40
  4. Step 4: Simplify right side
    49,603.52x = 1,082,016,801.47
  5. Step 5: Solve for x
    x = 1,082,016,801.47/49,603.52
  6. Step 6: Final answer
    x = 21,813.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.