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Finding the Fourth Proportional to 48,970.12, 73,411.44 and 17,783.50

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Solution

The fourth proportional to 48,970.12, 73,411.44 and 17,783.50 is: 26,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.12 : 73,411.44 = 17,783.50 : x
  2. Step 2: Convert to fraction form
    48,970.12/73,411.44 = 17,783.50/x
  3. Step 3: Cross multiply
    48,970.12x = 73,411.44 × 17,783.50
  4. Step 4: Simplify right side
    48,970.12x = 1,305,512,343.24
  5. Step 5: Solve for x
    x = 1,305,512,343.24/48,970.12
  6. Step 6: Final answer
    x = 26,659.37

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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.