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Finding the Fourth Proportional to 35,660.38, 53,461.41 and 13,461.13

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Solution

The fourth proportional to 35,660.38, 53,461.41 and 13,461.13 is: 20,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.38 : 53,461.41 = 13,461.13 : x
  2. Step 2: Convert to fraction form
    35,660.38/53,461.41 = 13,461.13/x
  3. Step 3: Cross multiply
    35,660.38x = 53,461.41 × 13,461.13
  4. Step 4: Simplify right side
    35,660.38x = 719,650,989.99
  5. Step 5: Solve for x
    x = 719,650,989.99/35,660.38
  6. Step 6: Final answer
    x = 20,180.69

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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.