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Finding the Fourth Proportional to 35,082.46, 52,606.63 and 11,701

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Solution

The fourth proportional to 35,082.46, 52,606.63 and 11,701 is: 17,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.46 : 52,606.63 = 11,701 : x
  2. Step 2: Convert to fraction form
    35,082.46/52,606.63 = 11,701/x
  3. Step 3: Cross multiply
    35,082.46x = 52,606.63 × 11,701
  4. Step 4: Simplify right side
    35,082.46x = 615,550,177.63
  5. Step 5: Solve for x
    x = 615,550,177.63/35,082.46
  6. Step 6: Final answer
    x = 17,545.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.