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Finding the Fourth Proportional to 53,009.88, 73,132.68 and 34,158

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Solution

The fourth proportional to 53,009.88, 73,132.68 and 34,158 is: 47,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,009.88 : 73,132.68 = 34,158 : x
  2. Step 2: Convert to fraction form
    53,009.88/73,132.68 = 34,158/x
  3. Step 3: Cross multiply
    53,009.88x = 73,132.68 × 34,158
  4. Step 4: Simplify right side
    53,009.88x = 2,498,066,083.44
  5. Step 5: Solve for x
    x = 2,498,066,083.44/53,009.88
  6. Step 6: Final answer
    x = 47,124.54

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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.