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Finding the Fourth Proportional to 59,968, 82,763.13 and 34,817.50

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Solution

The fourth proportional to 59,968, 82,763.13 and 34,817.50 is: 48,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,968 : 82,763.13 = 34,817.50 : x
  2. Step 2: Convert to fraction form
    59,968/82,763.13 = 34,817.50/x
  3. Step 3: Cross multiply
    59,968x = 82,763.13 × 34,817.50
  4. Step 4: Simplify right side
    59,968x = 2,881,605,278.78
  5. Step 5: Solve for x
    x = 2,881,605,278.78/59,968
  6. Step 6: Final answer
    x = 48,052.38

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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.