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Finding the Fourth Proportional to 77,648.22, 116,477.90 and 20,721.82

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Solution

The fourth proportional to 77,648.22, 116,477.90 and 20,721.82 is: 31,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.22 : 116,477.90 = 20,721.82 : x
  2. Step 2: Convert to fraction form
    77,648.22/116,477.90 = 20,721.82/x
  3. Step 3: Cross multiply
    77,648.22x = 116,477.90 × 20,721.82
  4. Step 4: Simplify right side
    77,648.22x = 2,413,634,077.78
  5. Step 5: Solve for x
    x = 2,413,634,077.78/77,648.22
  6. Step 6: Final answer
    x = 31,084.22

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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.