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Finding the Fourth Proportional to 47,570.64, 71,350.56 and 12,513

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Solution

The fourth proportional to 47,570.64, 71,350.56 and 12,513 is: 18,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,570.64 : 71,350.56 = 12,513 : x
  2. Step 2: Convert to fraction form
    47,570.64/71,350.56 = 12,513/x
  3. Step 3: Cross multiply
    47,570.64x = 71,350.56 × 12,513
  4. Step 4: Simplify right side
    47,570.64x = 892,809,557.28
  5. Step 5: Solve for x
    x = 892,809,557.28/47,570.64
  6. Step 6: Final answer
    x = 18,768.08

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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.