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Finding the Fourth Proportional to 52,059.51, 71,806.53 and 32,963.58

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Solution

The fourth proportional to 52,059.51, 71,806.53 and 32,963.58 is: 45,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,059.51 : 71,806.53 = 32,963.58 : x
  2. Step 2: Convert to fraction form
    52,059.51/71,806.53 = 32,963.58/x
  3. Step 3: Cross multiply
    52,059.51x = 71,806.53 × 32,963.58
  4. Step 4: Simplify right side
    52,059.51x = 2,367,000,296.18
  5. Step 5: Solve for x
    x = 2,367,000,296.18/52,059.51
  6. Step 6: Final answer
    x = 45,467.20

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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.