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Finding the Fourth Proportional to 35,762.74, 53,661.38 and 14,718.30

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Solution

The fourth proportional to 35,762.74, 53,661.38 and 14,718.30 is: 22,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.74 : 53,661.38 = 14,718.30 : x
  2. Step 2: Convert to fraction form
    35,762.74/53,661.38 = 14,718.30/x
  3. Step 3: Cross multiply
    35,762.74x = 53,661.38 × 14,718.30
  4. Step 4: Simplify right side
    35,762.74x = 789,804,289.25
  5. Step 5: Solve for x
    x = 789,804,289.25/35,762.74
  6. Step 6: Final answer
    x = 22,084.56

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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.