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Finding the Fourth Proportional to 62,702.54, 86,532 and 34,409.24

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Solution

The fourth proportional to 62,702.54, 86,532 and 34,409.24 is: 47,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,702.54 : 86,532 = 34,409.24 : x
  2. Step 2: Convert to fraction form
    62,702.54/86,532 = 34,409.24/x
  3. Step 3: Cross multiply
    62,702.54x = 86,532 × 34,409.24
  4. Step 4: Simplify right side
    62,702.54x = 2,977,500,355.68
  5. Step 5: Solve for x
    x = 2,977,500,355.68/62,702.54
  6. Step 6: Final answer
    x = 47,486.12

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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.