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Finding the Fourth Proportional to 35,507.82, 53,261.58 and 14,447.54

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Solution

The fourth proportional to 35,507.82, 53,261.58 and 14,447.54 is: 21,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.82 : 53,261.58 = 14,447.54 : x
  2. Step 2: Convert to fraction form
    35,507.82/53,261.58 = 14,447.54/x
  3. Step 3: Cross multiply
    35,507.82x = 53,261.58 × 14,447.54
  4. Step 4: Simplify right side
    35,507.82x = 769,498,807.51
  5. Step 5: Solve for x
    x = 769,498,807.51/35,507.82
  6. Step 6: Final answer
    x = 21,671.25

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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.