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Finding the Fourth Proportional to 60,265.51, 83,157.66 and 33,408

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Solution

The fourth proportional to 60,265.51, 83,157.66 and 33,408 is: 46,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,265.51 : 83,157.66 = 33,408 : x
  2. Step 2: Convert to fraction form
    60,265.51/83,157.66 = 33,408/x
  3. Step 3: Cross multiply
    60,265.51x = 83,157.66 × 33,408
  4. Step 4: Simplify right side
    60,265.51x = 2,778,131,105.28
  5. Step 5: Solve for x
    x = 2,778,131,105.28/60,265.51
  6. Step 6: Final answer
    x = 46,098.19

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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.