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Finding the Fourth Proportional to 51,203.60, 76,805.40 and 47,056.40

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Solution

The fourth proportional to 51,203.60, 76,805.40 and 47,056.40 is: 70,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203.60 : 76,805.40 = 47,056.40 : x
  2. Step 2: Convert to fraction form
    51,203.60/76,805.40 = 47,056.40/x
  3. Step 3: Cross multiply
    51,203.60x = 76,805.40 × 47,056.40
  4. Step 4: Simplify right side
    51,203.60x = 3,614,185,624.56
  5. Step 5: Solve for x
    x = 3,614,185,624.56/51,203.60
  6. Step 6: Final answer
    x = 70,584.60

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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.