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Finding the Fourth Proportional to 55,797.71, 77,065.79 and 46,755.83

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Solution

The fourth proportional to 55,797.71, 77,065.79 and 46,755.83 is: 64,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,797.71 : 77,065.79 = 46,755.83 : x
  2. Step 2: Convert to fraction form
    55,797.71/77,065.79 = 46,755.83/x
  3. Step 3: Cross multiply
    55,797.71x = 77,065.79 × 46,755.83
  4. Step 4: Simplify right side
    55,797.71x = 3,603,274,356.95
  5. Step 5: Solve for x
    x = 3,603,274,356.95/55,797.71
  6. Step 6: Final answer
    x = 64,577.47

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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.