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Finding the Fourth Proportional to 35,770.56, 53,605.92 and 30,478.08

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Solution

The fourth proportional to 35,770.56, 53,605.92 and 30,478.08 is: 45,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.56 : 53,605.92 = 30,478.08 : x
  2. Step 2: Convert to fraction form
    35,770.56/53,605.92 = 30,478.08/x
  3. Step 3: Cross multiply
    35,770.56x = 53,605.92 × 30,478.08
  4. Step 4: Simplify right side
    35,770.56x = 1,633,805,518.23
  5. Step 5: Solve for x
    x = 1,633,805,518.23/35,770.56
  6. Step 6: Final answer
    x = 45,674.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.