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Finding the Fourth Proportional to 30,452.72, 45,680.64 and 9,677.84

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Solution

The fourth proportional to 30,452.72, 45,680.64 and 9,677.84 is: 14,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.72 : 45,680.64 = 9,677.84 : x
  2. Step 2: Convert to fraction form
    30,452.72/45,680.64 = 9,677.84/x
  3. Step 3: Cross multiply
    30,452.72x = 45,680.64 × 9,677.84
  4. Step 4: Simplify right side
    30,452.72x = 442,089,925.02
  5. Step 5: Solve for x
    x = 442,089,925.02/30,452.72
  6. Step 6: Final answer
    x = 14,517.26

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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.