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Finding the Fourth Proportional to 77,362.84, 106,795.71 and 48,724.59

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Solution

The fourth proportional to 77,362.84, 106,795.71 and 48,724.59 is: 67,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362.84 : 106,795.71 = 48,724.59 : x
  2. Step 2: Convert to fraction form
    77,362.84/106,795.71 = 48,724.59/x
  3. Step 3: Cross multiply
    77,362.84x = 106,795.71 × 48,724.59
  4. Step 4: Simplify right side
    77,362.84x = 5,203,577,073.38
  5. Step 5: Solve for x
    x = 5,203,577,073.38/77,362.84
  6. Step 6: Final answer
    x = 67,261.97

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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.