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Finding the Fourth Proportional to 35,528.36, 53,272.94 and 14,463

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Solution

The fourth proportional to 35,528.36, 53,272.94 and 14,463 is: 21,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528.36 : 53,272.94 = 14,463 : x
  2. Step 2: Convert to fraction form
    35,528.36/53,272.94 = 14,463/x
  3. Step 3: Cross multiply
    35,528.36x = 53,272.94 × 14,463
  4. Step 4: Simplify right side
    35,528.36x = 770,486,458.91
  5. Step 5: Solve for x
    x = 770,486,458.91/35,528.36
  6. Step 6: Final answer
    x = 21,686.52

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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.