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Finding the Fourth Proportional to 30,776.80, 42,445.20 and 24,806.56

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Solution

The fourth proportional to 30,776.80, 42,445.20 and 24,806.56 is: 34,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.80 : 42,445.20 = 24,806.56 : x
  2. Step 2: Convert to fraction form
    30,776.80/42,445.20 = 24,806.56/x
  3. Step 3: Cross multiply
    30,776.80x = 42,445.20 × 24,806.56
  4. Step 4: Simplify right side
    30,776.80x = 1,052,919,400.51
  5. Step 5: Solve for x
    x = 1,052,919,400.51/30,776.80
  6. Step 6: Final answer
    x = 34,211.46

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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.