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Finding the Fourth Proportional to 81,603.63, 122,400.54 and 24,676.47

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Solution

The fourth proportional to 81,603.63, 122,400.54 and 24,676.47 is: 37,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,603.63 : 122,400.54 = 24,676.47 : x
  2. Step 2: Convert to fraction form
    81,603.63/122,400.54 = 24,676.47/x
  3. Step 3: Cross multiply
    81,603.63x = 122,400.54 × 24,676.47
  4. Step 4: Simplify right side
    81,603.63x = 3,020,413,253.29
  5. Step 5: Solve for x
    x = 3,020,413,253.29/81,603.63
  6. Step 6: Final answer
    x = 37,013.22

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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.