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Finding the Fourth Proportional to 83,951.58, 115,853.07 and 46,225.50

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Solution

The fourth proportional to 83,951.58, 115,853.07 and 46,225.50 is: 63,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,951.58 : 115,853.07 = 46,225.50 : x
  2. Step 2: Convert to fraction form
    83,951.58/115,853.07 = 46,225.50/x
  3. Step 3: Cross multiply
    83,951.58x = 115,853.07 × 46,225.50
  4. Step 4: Simplify right side
    83,951.58x = 5,355,366,087.29
  5. Step 5: Solve for x
    x = 5,355,366,087.29/83,951.58
  6. Step 6: Final answer
    x = 63,791.13

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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.