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Finding the Fourth Proportional to 35,658, 49,196.10 and 22,031.46

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Solution

The fourth proportional to 35,658, 49,196.10 and 22,031.46 is: 30,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658 : 49,196.10 = 22,031.46 : x
  2. Step 2: Convert to fraction form
    35,658/49,196.10 = 22,031.46/x
  3. Step 3: Cross multiply
    35,658x = 49,196.10 × 22,031.46
  4. Step 4: Simplify right side
    35,658x = 1,083,861,909.31
  5. Step 5: Solve for x
    x = 1,083,861,909.31/35,658
  6. Step 6: Final answer
    x = 30,396.04

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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.