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Finding the Fourth Proportional to 38,843, 53,603.40 and 22,076

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Solution

The fourth proportional to 38,843, 53,603.40 and 22,076 is: 30,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843 : 53,603.40 = 22,076 : x
  2. Step 2: Convert to fraction form
    38,843/53,603.40 = 22,076/x
  3. Step 3: Cross multiply
    38,843x = 53,603.40 × 22,076
  4. Step 4: Simplify right side
    38,843x = 1,183,348,658.40
  5. Step 5: Solve for x
    x = 1,183,348,658.40/38,843
  6. Step 6: Final answer
    x = 30,464.91

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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.