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Finding the Fourth Proportional to 56,206.08, 77,563.71 and 30,712.32

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Solution

The fourth proportional to 56,206.08, 77,563.71 and 30,712.32 is: 42,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206.08 : 77,563.71 = 30,712.32 : x
  2. Step 2: Convert to fraction form
    56,206.08/77,563.71 = 30,712.32/x
  3. Step 3: Cross multiply
    56,206.08x = 77,563.71 × 30,712.32
  4. Step 4: Simplify right side
    56,206.08x = 2,382,161,481.91
  5. Step 5: Solve for x
    x = 2,382,161,481.91/56,206.08
  6. Step 6: Final answer
    x = 42,382.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.