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Finding the Fourth Proportional to 35,851.93, 53,776.68 and 13,664.50

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Solution

The fourth proportional to 35,851.93, 53,776.68 and 13,664.50 is: 20,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,851.93 : 53,776.68 = 13,664.50 : x
  2. Step 2: Convert to fraction form
    35,851.93/53,776.68 = 13,664.50/x
  3. Step 3: Cross multiply
    35,851.93x = 53,776.68 × 13,664.50
  4. Step 4: Simplify right side
    35,851.93x = 734,831,443.86
  5. Step 5: Solve for x
    x = 734,831,443.86/35,851.93
  6. Step 6: Final answer
    x = 20,496.29

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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.