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Finding the Fourth Proportional to 35,542.70, 53,268.03 and 14,458.20

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Solution

The fourth proportional to 35,542.70, 53,268.03 and 14,458.20 is: 21,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.70 : 53,268.03 = 14,458.20 : x
  2. Step 2: Convert to fraction form
    35,542.70/53,268.03 = 14,458.20/x
  3. Step 3: Cross multiply
    35,542.70x = 53,268.03 × 14,458.20
  4. Step 4: Simplify right side
    35,542.70x = 770,159,631.59
  5. Step 5: Solve for x
    x = 770,159,631.59/35,542.70
  6. Step 6: Final answer
    x = 21,668.57

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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.