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Finding the Fourth Proportional to 53,774.50, 74,205.30 and 29,900.30

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Solution

The fourth proportional to 53,774.50, 74,205.30 and 29,900.30 is: 41,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774.50 : 74,205.30 = 29,900.30 : x
  2. Step 2: Convert to fraction form
    53,774.50/74,205.30 = 29,900.30/x
  3. Step 3: Cross multiply
    53,774.50x = 74,205.30 × 29,900.30
  4. Step 4: Simplify right side
    53,774.50x = 2,218,760,731.59
  5. Step 5: Solve for x
    x = 2,218,760,731.59/53,774.50
  6. Step 6: Final answer
    x = 41,260.46

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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.