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Finding the Fourth Proportional to 77,103.17, 106,361.33 and 46,897.73

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Solution

The fourth proportional to 77,103.17, 106,361.33 and 46,897.73 is: 64,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.17 : 106,361.33 = 46,897.73 : x
  2. Step 2: Convert to fraction form
    77,103.17/106,361.33 = 46,897.73/x
  3. Step 3: Cross multiply
    77,103.17x = 106,361.33 × 46,897.73
  4. Step 4: Simplify right side
    77,103.17x = 4,988,104,170.49
  5. Step 5: Solve for x
    x = 4,988,104,170.49/77,103.17
  6. Step 6: Final answer
    x = 64,693.90

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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.