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Finding the Fourth Proportional to 60,713, 83,783.94 and 34,217

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Solution

The fourth proportional to 60,713, 83,783.94 and 34,217 is: 47,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,713 : 83,783.94 = 34,217 : x
  2. Step 2: Convert to fraction form
    60,713/83,783.94 = 34,217/x
  3. Step 3: Cross multiply
    60,713x = 83,783.94 × 34,217
  4. Step 4: Simplify right side
    60,713x = 2,866,835,074.98
  5. Step 5: Solve for x
    x = 2,866,835,074.98/60,713
  6. Step 6: Final answer
    x = 47,219.46

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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.