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Finding the Fourth Proportional to 68,091.01, 102,047.77 and 34,783

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Solution

The fourth proportional to 68,091.01, 102,047.77 and 34,783 is: 52,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,091.01 : 102,047.77 = 34,783 : x
  2. Step 2: Convert to fraction form
    68,091.01/102,047.77 = 34,783/x
  3. Step 3: Cross multiply
    68,091.01x = 102,047.77 × 34,783
  4. Step 4: Simplify right side
    68,091.01x = 3,549,527,583.91
  5. Step 5: Solve for x
    x = 3,549,527,583.91/68,091.01
  6. Step 6: Final answer
    x = 52,129.17

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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.