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Finding the Fourth Proportional to 60,517, 83,513.46 and 34,021

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Solution

The fourth proportional to 60,517, 83,513.46 and 34,021 is: 46,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,517 : 83,513.46 = 34,021 : x
  2. Step 2: Convert to fraction form
    60,517/83,513.46 = 34,021/x
  3. Step 3: Cross multiply
    60,517x = 83,513.46 × 34,021
  4. Step 4: Simplify right side
    60,517x = 2,841,211,422.66
  5. Step 5: Solve for x
    x = 2,841,211,422.66/60,517
  6. Step 6: Final answer
    x = 46,948.98

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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.