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Finding the Fourth Proportional to 53,781.66, 80,541 and 46,433.34

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Solution

The fourth proportional to 53,781.66, 80,541 and 46,433.34 is: 69,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.66 : 80,541 = 46,433.34 : x
  2. Step 2: Convert to fraction form
    53,781.66/80,541 = 46,433.34/x
  3. Step 3: Cross multiply
    53,781.66x = 80,541 × 46,433.34
  4. Step 4: Simplify right side
    53,781.66x = 3,739,787,636.94
  5. Step 5: Solve for x
    x = 3,739,787,636.94/53,781.66
  6. Step 6: Final answer
    x = 69,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.