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Finding the Fourth Proportional to 35,766.51, 53,649.73 and 14,718

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Solution

The fourth proportional to 35,766.51, 53,649.73 and 14,718 is: 22,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.51 : 53,649.73 = 14,718 : x
  2. Step 2: Convert to fraction form
    35,766.51/53,649.73 = 14,718/x
  3. Step 3: Cross multiply
    35,766.51x = 53,649.73 × 14,718
  4. Step 4: Simplify right side
    35,766.51x = 789,616,726.14
  5. Step 5: Solve for x
    x = 789,616,726.14/35,766.51
  6. Step 6: Final answer
    x = 22,076.99

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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.