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Finding the Fourth Proportional to 30,726.78, 46,090.20 and 8,540.16

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Solution

The fourth proportional to 30,726.78, 46,090.20 and 8,540.16 is: 12,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.78 : 46,090.20 = 8,540.16 : x
  2. Step 2: Convert to fraction form
    30,726.78/46,090.20 = 8,540.16/x
  3. Step 3: Cross multiply
    30,726.78x = 46,090.20 × 8,540.16
  4. Step 4: Simplify right side
    30,726.78x = 393,617,409.28
  5. Step 5: Solve for x
    x = 393,617,409.28/30,726.78
  6. Step 6: Final answer
    x = 12,810.24

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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.