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Finding the Fourth Proportional to 60,350, 83,283 and 33,854

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Solution

The fourth proportional to 60,350, 83,283 and 33,854 is: 46,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,350 : 83,283 = 33,854 : x
  2. Step 2: Convert to fraction form
    60,350/83,283 = 33,854/x
  3. Step 3: Cross multiply
    60,350x = 83,283 × 33,854
  4. Step 4: Simplify right side
    60,350x = 2,819,462,682
  5. Step 5: Solve for x
    x = 2,819,462,682/60,350
  6. Step 6: Final answer
    x = 46,718.52

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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.