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Finding the Fourth Proportional to 56,906.52, 78,449.38 and 44,786

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Solution

The fourth proportional to 56,906.52, 78,449.38 and 44,786 is: 61,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.52 : 78,449.38 = 44,786 : x
  2. Step 2: Convert to fraction form
    56,906.52/78,449.38 = 44,786/x
  3. Step 3: Cross multiply
    56,906.52x = 78,449.38 × 44,786
  4. Step 4: Simplify right side
    56,906.52x = 3,513,433,932.68
  5. Step 5: Solve for x
    x = 3,513,433,932.68/56,906.52
  6. Step 6: Final answer
    x = 61,740.45

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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.