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Finding the Fourth Proportional to 105,309.72, 157,979.50 and 34,209.61

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Solution

The fourth proportional to 105,309.72, 157,979.50 and 34,209.61 is: 51,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.72 : 157,979.50 = 34,209.61 : x
  2. Step 2: Convert to fraction form
    105,309.72/157,979.50 = 34,209.61/x
  3. Step 3: Cross multiply
    105,309.72x = 157,979.50 × 34,209.61
  4. Step 4: Simplify right side
    105,309.72x = 5,404,416,602.52
  5. Step 5: Solve for x
    x = 5,404,416,602.52/105,309.72
  6. Step 6: Final answer
    x = 51,319.26

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