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Finding the Fourth Proportional to 55,318.38, 76,345.29 and 33,820.74

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Solution

The fourth proportional to 55,318.38, 76,345.29 and 33,820.74 is: 46,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,318.38 : 76,345.29 = 33,820.74 : x
  2. Step 2: Convert to fraction form
    55,318.38/76,345.29 = 33,820.74/x
  3. Step 3: Cross multiply
    55,318.38x = 76,345.29 × 33,820.74
  4. Step 4: Simplify right side
    55,318.38x = 2,582,054,203.31
  5. Step 5: Solve for x
    x = 2,582,054,203.31/55,318.38
  6. Step 6: Final answer
    x = 46,676.24

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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.