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Finding the Fourth Proportional to 63,082, 94,623 and 35,382.16

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Solution

The fourth proportional to 63,082, 94,623 and 35,382.16 is: 53,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,082 : 94,623 = 35,382.16 : x
  2. Step 2: Convert to fraction form
    63,082/94,623 = 35,382.16/x
  3. Step 3: Cross multiply
    63,082x = 94,623 × 35,382.16
  4. Step 4: Simplify right side
    63,082x = 3,347,966,125.68
  5. Step 5: Solve for x
    x = 3,347,966,125.68/63,082
  6. Step 6: Final answer
    x = 53,073.24

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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.