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Finding the Fourth Proportional to 51,216.50, 70,698.21 and 34,459.22

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Solution

The fourth proportional to 51,216.50, 70,698.21 and 34,459.22 is: 47,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,216.50 : 70,698.21 = 34,459.22 : x
  2. Step 2: Convert to fraction form
    51,216.50/70,698.21 = 34,459.22/x
  3. Step 3: Cross multiply
    51,216.50x = 70,698.21 × 34,459.22
  4. Step 4: Simplify right side
    51,216.50x = 2,436,205,172.00
  5. Step 5: Solve for x
    x = 2,436,205,172.00/51,216.50
  6. Step 6: Final answer
    x = 47,566.80

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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.