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Finding the Fourth Proportional to 36,346.32, 54,520.56 and 10,053

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Solution

The fourth proportional to 36,346.32, 54,520.56 and 10,053 is: 15,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346.32 : 54,520.56 = 10,053 : x
  2. Step 2: Convert to fraction form
    36,346.32/54,520.56 = 10,053/x
  3. Step 3: Cross multiply
    36,346.32x = 54,520.56 × 10,053
  4. Step 4: Simplify right side
    36,346.32x = 548,095,189.68
  5. Step 5: Solve for x
    x = 548,095,189.68/36,346.32
  6. Step 6: Final answer
    x = 15,079.80

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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.