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Finding the Fourth Proportional to 53,674.56, 74,019.42 and 34,534.80

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Solution

The fourth proportional to 53,674.56, 74,019.42 and 34,534.80 is: 47,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,674.56 : 74,019.42 = 34,534.80 : x
  2. Step 2: Convert to fraction form
    53,674.56/74,019.42 = 34,534.80/x
  3. Step 3: Cross multiply
    53,674.56x = 74,019.42 × 34,534.80
  4. Step 4: Simplify right side
    53,674.56x = 2,556,245,865.82
  5. Step 5: Solve for x
    x = 2,556,245,865.82/53,674.56
  6. Step 6: Final answer
    x = 47,624.91

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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.