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Finding the Fourth Proportional to 30,407.72, 45,548 and 24,452.40

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Solution

The fourth proportional to 30,407.72, 45,548 and 24,452.40 is: 36,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.72 : 45,548 = 24,452.40 : x
  2. Step 2: Convert to fraction form
    30,407.72/45,548 = 24,452.40/x
  3. Step 3: Cross multiply
    30,407.72x = 45,548 × 24,452.40
  4. Step 4: Simplify right side
    30,407.72x = 1,113,757,915.20
  5. Step 5: Solve for x
    x = 1,113,757,915.20/30,407.72
  6. Step 6: Final answer
    x = 36,627.47

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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.