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Finding the Fourth Proportional to 52,838.22, 72,930.53 and 32,683.38

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Solution

The fourth proportional to 52,838.22, 72,930.53 and 32,683.38 is: 45,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838.22 : 72,930.53 = 32,683.38 : x
  2. Step 2: Convert to fraction form
    52,838.22/72,930.53 = 32,683.38/x
  3. Step 3: Cross multiply
    52,838.22x = 72,930.53 × 32,683.38
  4. Step 4: Simplify right side
    52,838.22x = 2,383,616,062.17
  5. Step 5: Solve for x
    x = 2,383,616,062.17/52,838.22
  6. Step 6: Final answer
    x = 45,111.59

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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.