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Finding the Fourth Proportional to 96,640.47, 144,970.62 and 33,460.50

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Solution

The fourth proportional to 96,640.47, 144,970.62 and 33,460.50 is: 50,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640.47 : 144,970.62 = 33,460.50 : x
  2. Step 2: Convert to fraction form
    96,640.47/144,970.62 = 33,460.50/x
  3. Step 3: Cross multiply
    96,640.47x = 144,970.62 × 33,460.50
  4. Step 4: Simplify right side
    96,640.47x = 4,850,789,430.51
  5. Step 5: Solve for x
    x = 4,850,789,430.51/96,640.47
  6. Step 6: Final answer
    x = 50,194.18

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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.