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Finding the Fourth Proportional to 47,243.40, 65,200.54 and 35,286

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Solution

The fourth proportional to 47,243.40, 65,200.54 and 35,286 is: 48,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,243.40 : 65,200.54 = 35,286 : x
  2. Step 2: Convert to fraction form
    47,243.40/65,200.54 = 35,286/x
  3. Step 3: Cross multiply
    47,243.40x = 65,200.54 × 35,286
  4. Step 4: Simplify right side
    47,243.40x = 2,300,666,254.44
  5. Step 5: Solve for x
    x = 2,300,666,254.44/47,243.40
  6. Step 6: Final answer
    x = 48,698.15

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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.