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Finding the Fourth Proportional to 30,168.32, 45,251.19 and 10,176.48

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Solution

The fourth proportional to 30,168.32, 45,251.19 and 10,176.48 is: 15,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.32 : 45,251.19 = 10,176.48 : x
  2. Step 2: Convert to fraction form
    30,168.32/45,251.19 = 10,176.48/x
  3. Step 3: Cross multiply
    30,168.32x = 45,251.19 × 10,176.48
  4. Step 4: Simplify right side
    30,168.32x = 460,497,830.01
  5. Step 5: Solve for x
    x = 460,497,830.01/30,168.32
  6. Step 6: Final answer
    x = 15,264.29

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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.