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Finding the Fourth Proportional to 78,226.74, 107,936.28 and 46,405.98

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Solution

The fourth proportional to 78,226.74, 107,936.28 and 46,405.98 is: 64,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226.74 : 107,936.28 = 46,405.98 : x
  2. Step 2: Convert to fraction form
    78,226.74/107,936.28 = 46,405.98/x
  3. Step 3: Cross multiply
    78,226.74x = 107,936.28 × 46,405.98
  4. Step 4: Simplify right side
    78,226.74x = 5,008,888,850.95
  5. Step 5: Solve for x
    x = 5,008,888,850.95/78,226.74
  6. Step 6: Final answer
    x = 64,030.39

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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.