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Finding the Fourth Proportional to 49,201, 67,897.38 and 29,329

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Solution

The fourth proportional to 49,201, 67,897.38 and 29,329 is: 40,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201 : 67,897.38 = 29,329 : x
  2. Step 2: Convert to fraction form
    49,201/67,897.38 = 29,329/x
  3. Step 3: Cross multiply
    49,201x = 67,897.38 × 29,329
  4. Step 4: Simplify right side
    49,201x = 1,991,362,258.02
  5. Step 5: Solve for x
    x = 1,991,362,258.02/49,201
  6. Step 6: Final answer
    x = 40,474.02

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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.