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Finding the Fourth Proportional to 38,535.84, 53,163.72 and 30,546

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Solution

The fourth proportional to 38,535.84, 53,163.72 and 30,546 is: 42,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.84 : 53,163.72 = 30,546 : x
  2. Step 2: Convert to fraction form
    38,535.84/53,163.72 = 30,546/x
  3. Step 3: Cross multiply
    38,535.84x = 53,163.72 × 30,546
  4. Step 4: Simplify right side
    38,535.84x = 1,623,938,991.12
  5. Step 5: Solve for x
    x = 1,623,938,991.12/38,535.84
  6. Step 6: Final answer
    x = 42,141.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.