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Finding the Fourth Proportional to 53,533.95, 73,877.45 and 29,661

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Solution

The fourth proportional to 53,533.95, 73,877.45 and 29,661 is: 40,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,533.95 : 73,877.45 = 29,661 : x
  2. Step 2: Convert to fraction form
    53,533.95/73,877.45 = 29,661/x
  3. Step 3: Cross multiply
    53,533.95x = 73,877.45 × 29,661
  4. Step 4: Simplify right side
    53,533.95x = 2,191,278,896.15
  5. Step 5: Solve for x
    x = 2,191,278,896.15/53,533.95
  6. Step 6: Final answer
    x = 40,932.51

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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.