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Finding the Fourth Proportional to 30,169.26, 45,260.40 and 10,180.77

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Solution

The fourth proportional to 30,169.26, 45,260.40 and 10,180.77 is: 15,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.26 : 45,260.40 = 10,180.77 : x
  2. Step 2: Convert to fraction form
    30,169.26/45,260.40 = 10,180.77/x
  3. Step 3: Cross multiply
    30,169.26x = 45,260.40 × 10,180.77
  4. Step 4: Simplify right side
    30,169.26x = 460,785,722.51
  5. Step 5: Solve for x
    x = 460,785,722.51/30,169.26
  6. Step 6: Final answer
    x = 15,273.35

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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.