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Finding the Fourth Proportional to 77,018.58, 106,292.79 and 46,796.94

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Solution

The fourth proportional to 77,018.58, 106,292.79 and 46,796.94 is: 64,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018.58 : 106,292.79 = 46,796.94 : x
  2. Step 2: Convert to fraction form
    77,018.58/106,292.79 = 46,796.94/x
  3. Step 3: Cross multiply
    77,018.58x = 106,292.79 × 46,796.94
  4. Step 4: Simplify right side
    77,018.58x = 4,974,177,316.06
  5. Step 5: Solve for x
    x = 4,974,177,316.06/77,018.58
  6. Step 6: Final answer
    x = 64,584.12

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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.