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Finding the Fourth Proportional to 30,292.02, 41,802 and 16,862.82

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Solution

The fourth proportional to 30,292.02, 41,802 and 16,862.82 is: 23,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.02 : 41,802 = 16,862.82 : x
  2. Step 2: Convert to fraction form
    30,292.02/41,802 = 16,862.82/x
  3. Step 3: Cross multiply
    30,292.02x = 41,802 × 16,862.82
  4. Step 4: Simplify right side
    30,292.02x = 704,899,601.64
  5. Step 5: Solve for x
    x = 704,899,601.64/30,292.02
  6. Step 6: Final answer
    x = 23,270.14

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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.