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Finding the Fourth Proportional to 83,222.93, 114,838.71 and 49,232.72

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Solution

The fourth proportional to 83,222.93, 114,838.71 and 49,232.72 is: 67,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.93 : 114,838.71 = 49,232.72 : x
  2. Step 2: Convert to fraction form
    83,222.93/114,838.71 = 49,232.72/x
  3. Step 3: Cross multiply
    83,222.93x = 114,838.71 × 49,232.72
  4. Step 4: Simplify right side
    83,222.93x = 5,653,822,054.59
  5. Step 5: Solve for x
    x = 5,653,822,054.59/83,222.93
  6. Step 6: Final answer
    x = 67,935.87

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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.