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Finding the Fourth Proportional to 56,736, 85,104 and 15,182.08

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Solution

The fourth proportional to 56,736, 85,104 and 15,182.08 is: 22,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736 : 85,104 = 15,182.08 : x
  2. Step 2: Convert to fraction form
    56,736/85,104 = 15,182.08/x
  3. Step 3: Cross multiply
    56,736x = 85,104 × 15,182.08
  4. Step 4: Simplify right side
    56,736x = 1,292,055,736.32
  5. Step 5: Solve for x
    x = 1,292,055,736.32/56,736
  6. Step 6: Final answer
    x = 22,773.12

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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.