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Finding the Fourth Proportional to 49,783.40, 74,675.10 and 12,847.40

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Solution

The fourth proportional to 49,783.40, 74,675.10 and 12,847.40 is: 19,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.40 : 74,675.10 = 12,847.40 : x
  2. Step 2: Convert to fraction form
    49,783.40/74,675.10 = 12,847.40/x
  3. Step 3: Cross multiply
    49,783.40x = 74,675.10 × 12,847.40
  4. Step 4: Simplify right side
    49,783.40x = 959,380,879.74
  5. Step 5: Solve for x
    x = 959,380,879.74/49,783.40
  6. Step 6: Final answer
    x = 19,271.10

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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.