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Finding the Fourth Proportional to 30,856.54, 46,169.96 and 27,090.50

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Solution

The fourth proportional to 30,856.54, 46,169.96 and 27,090.50 is: 40,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.54 : 46,169.96 = 27,090.50 : x
  2. Step 2: Convert to fraction form
    30,856.54/46,169.96 = 27,090.50/x
  3. Step 3: Cross multiply
    30,856.54x = 46,169.96 × 27,090.50
  4. Step 4: Simplify right side
    30,856.54x = 1,250,767,301.38
  5. Step 5: Solve for x
    x = 1,250,767,301.38/30,856.54
  6. Step 6: Final answer
    x = 40,534.92

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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.