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Finding the Fourth Proportional to 100,880.52, 151,322 and 34,322.01

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Solution

The fourth proportional to 100,880.52, 151,322 and 34,322.01 is: 51,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,880.52 : 151,322 = 34,322.01 : x
  2. Step 2: Convert to fraction form
    100,880.52/151,322 = 34,322.01/x
  3. Step 3: Cross multiply
    100,880.52x = 151,322 × 34,322.01
  4. Step 4: Simplify right side
    100,880.52x = 5,193,675,197.22
  5. Step 5: Solve for x
    x = 5,193,675,197.22/100,880.52
  6. Step 6: Final answer
    x = 51,483.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.