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Finding the Fourth Proportional to 77,441.74, 106,907.14 and 51,938.78

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Solution

The fourth proportional to 77,441.74, 106,907.14 and 51,938.78 is: 71,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441.74 : 106,907.14 = 51,938.78 : x
  2. Step 2: Convert to fraction form
    77,441.74/106,907.14 = 51,938.78/x
  3. Step 3: Cross multiply
    77,441.74x = 106,907.14 × 51,938.78
  4. Step 4: Simplify right side
    77,441.74x = 5,552,626,424.89
  5. Step 5: Solve for x
    x = 5,552,626,424.89/77,441.74
  6. Step 6: Final answer
    x = 71,700.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.