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Finding the Fourth Proportional to 53,502.89, 73,826.10 and 30,840.10

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Solution

The fourth proportional to 53,502.89, 73,826.10 and 30,840.10 is: 42,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502.89 : 73,826.10 = 30,840.10 : x
  2. Step 2: Convert to fraction form
    53,502.89/73,826.10 = 30,840.10/x
  3. Step 3: Cross multiply
    53,502.89x = 73,826.10 × 30,840.10
  4. Step 4: Simplify right side
    53,502.89x = 2,276,804,122.04
  5. Step 5: Solve for x
    x = 2,276,804,122.04/53,502.89
  6. Step 6: Final answer
    x = 42,554.79

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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.