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Finding the Fourth Proportional to 30,713.72, 46,009.62 and 23,669.28

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Solution

The fourth proportional to 30,713.72, 46,009.62 and 23,669.28 is: 35,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.72 : 46,009.62 = 23,669.28 : x
  2. Step 2: Convert to fraction form
    30,713.72/46,009.62 = 23,669.28/x
  3. Step 3: Cross multiply
    30,713.72x = 46,009.62 × 23,669.28
  4. Step 4: Simplify right side
    30,713.72x = 1,089,014,578.47
  5. Step 5: Solve for x
    x = 1,089,014,578.47/30,713.72
  6. Step 6: Final answer
    x = 35,456.95

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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.