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Finding the Fourth Proportional to 53,709.98, 74,103.05 and 31,040.72

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Solution

The fourth proportional to 53,709.98, 74,103.05 and 31,040.72 is: 42,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.98 : 74,103.05 = 31,040.72 : x
  2. Step 2: Convert to fraction form
    53,709.98/74,103.05 = 31,040.72/x
  3. Step 3: Cross multiply
    53,709.98x = 74,103.05 × 31,040.72
  4. Step 4: Simplify right side
    53,709.98x = 2,300,211,870.99
  5. Step 5: Solve for x
    x = 2,300,211,870.99/53,709.98
  6. Step 6: Final answer
    x = 42,826.53

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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.