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Finding the Fourth Proportional to 35,689.42, 49,304.72 and 23,453.76

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Solution

The fourth proportional to 35,689.42, 49,304.72 and 23,453.76 is: 32,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.42 : 49,304.72 = 23,453.76 : x
  2. Step 2: Convert to fraction form
    35,689.42/49,304.72 = 23,453.76/x
  3. Step 3: Cross multiply
    35,689.42x = 49,304.72 × 23,453.76
  4. Step 4: Simplify right side
    35,689.42x = 1,156,381,069.75
  5. Step 5: Solve for x
    x = 1,156,381,069.75/35,689.42
  6. Step 6: Final answer
    x = 32,401.23

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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.