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Finding the Fourth Proportional to 96,054, 144,081.81 and 33,724.50

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Solution

The fourth proportional to 96,054, 144,081.81 and 33,724.50 is: 50,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,054 : 144,081.81 = 33,724.50 : x
  2. Step 2: Convert to fraction form
    96,054/144,081.81 = 33,724.50/x
  3. Step 3: Cross multiply
    96,054x = 144,081.81 × 33,724.50
  4. Step 4: Simplify right side
    96,054x = 4,859,087,001.35
  5. Step 5: Solve for x
    x = 4,859,087,001.35/96,054
  6. Step 6: Final answer
    x = 50,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.