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Finding the Fourth Proportional to 35,834.68, 49,452.30 and 22,414

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Solution

The fourth proportional to 35,834.68, 49,452.30 and 22,414 is: 30,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.68 : 49,452.30 = 22,414 : x
  2. Step 2: Convert to fraction form
    35,834.68/49,452.30 = 22,414/x
  3. Step 3: Cross multiply
    35,834.68x = 49,452.30 × 22,414
  4. Step 4: Simplify right side
    35,834.68x = 1,108,423,852.20
  5. Step 5: Solve for x
    x = 1,108,423,852.20/35,834.68
  6. Step 6: Final answer
    x = 30,931.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.