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Finding the Fourth Proportional to 48,671.44, 72,784.74 and 35,389.06

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Solution

The fourth proportional to 48,671.44, 72,784.74 and 35,389.06 is: 52,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,671.44 : 72,784.74 = 35,389.06 : x
  2. Step 2: Convert to fraction form
    48,671.44/72,784.74 = 35,389.06/x
  3. Step 3: Cross multiply
    48,671.44x = 72,784.74 × 35,389.06
  4. Step 4: Simplify right side
    48,671.44x = 2,575,783,530.94
  5. Step 5: Solve for x
    x = 2,575,783,530.94/48,671.44
  6. Step 6: Final answer
    x = 52,921.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.