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Finding the Fourth Proportional to 54,893.48, 75,733.62 and 33,665

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Solution

The fourth proportional to 54,893.48, 75,733.62 and 33,665 is: 46,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.48 : 75,733.62 = 33,665 : x
  2. Step 2: Convert to fraction form
    54,893.48/75,733.62 = 33,665/x
  3. Step 3: Cross multiply
    54,893.48x = 75,733.62 × 33,665
  4. Step 4: Simplify right side
    54,893.48x = 2,549,572,317.30
  5. Step 5: Solve for x
    x = 2,549,572,317.30/54,893.48
  6. Step 6: Final answer
    x = 46,445.81

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1.5x scale

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.