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Finding the Fourth Proportional to 30,452.25, 45,646.47 and 10,455.78

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Solution

The fourth proportional to 30,452.25, 45,646.47 and 10,455.78 is: 15,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.25 : 45,646.47 = 10,455.78 : x
  2. Step 2: Convert to fraction form
    30,452.25/45,646.47 = 10,455.78/x
  3. Step 3: Cross multiply
    30,452.25x = 45,646.47 × 10,455.78
  4. Step 4: Simplify right side
    30,452.25x = 477,269,619.27
  5. Step 5: Solve for x
    x = 477,269,619.27/30,452.25
  6. Step 6: Final answer
    x = 15,672.72

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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.