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Finding the Fourth Proportional to 30,792.10, 46,098.18 and 27,837.37

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Solution

The fourth proportional to 30,792.10, 46,098.18 and 27,837.37 is: 41,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.10 : 46,098.18 = 27,837.37 : x
  2. Step 2: Convert to fraction form
    30,792.10/46,098.18 = 27,837.37/x
  3. Step 3: Cross multiply
    30,792.10x = 46,098.18 × 27,837.37
  4. Step 4: Simplify right side
    30,792.10x = 1,283,251,862.50
  5. Step 5: Solve for x
    x = 1,283,251,862.50/30,792.10
  6. Step 6: Final answer
    x = 41,674.72

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