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Finding the Fourth Proportional to 51,161.63, 70,583.00 and 32,033.48

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Solution

The fourth proportional to 51,161.63, 70,583.00 and 32,033.48 is: 44,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,161.63 : 70,583.00 = 32,033.48 : x
  2. Step 2: Convert to fraction form
    51,161.63/70,583.00 = 32,033.48/x
  3. Step 3: Cross multiply
    51,161.63x = 70,583.00 × 32,033.48
  4. Step 4: Simplify right side
    51,161.63x = 2,261,018,605.76
  5. Step 5: Solve for x
    x = 2,261,018,605.76/51,161.63
  6. Step 6: Final answer
    x = 44,193.64

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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.