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Finding the Fourth Proportional to 35,335.30, 52,970 and 11,945.38

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Solution

The fourth proportional to 35,335.30, 52,970 and 11,945.38 is: 17,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335.30 : 52,970 = 11,945.38 : x
  2. Step 2: Convert to fraction form
    35,335.30/52,970 = 11,945.38/x
  3. Step 3: Cross multiply
    35,335.30x = 52,970 × 11,945.38
  4. Step 4: Simplify right side
    35,335.30x = 632,746,778.60
  5. Step 5: Solve for x
    x = 632,746,778.60/35,335.30
  6. Step 6: Final answer
    x = 17,906.93

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