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Finding the Fourth Proportional to 35,820.71, 49,433.03 and 19,689.78

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Solution

The fourth proportional to 35,820.71, 49,433.03 and 19,689.78 is: 27,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.71 : 49,433.03 = 19,689.78 : x
  2. Step 2: Convert to fraction form
    35,820.71/49,433.03 = 19,689.78/x
  3. Step 3: Cross multiply
    35,820.71x = 49,433.03 × 19,689.78
  4. Step 4: Simplify right side
    35,820.71x = 973,325,423.90
  5. Step 5: Solve for x
    x = 973,325,423.90/35,820.71
  6. Step 6: Final answer
    x = 27,172.14

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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.