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Finding the Fourth Proportional to 47,315.60, 70,968.60 and 16,150.40

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Solution

The fourth proportional to 47,315.60, 70,968.60 and 16,150.40 is: 24,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,315.60 : 70,968.60 = 16,150.40 : x
  2. Step 2: Convert to fraction form
    47,315.60/70,968.60 = 16,150.40/x
  3. Step 3: Cross multiply
    47,315.60x = 70,968.60 × 16,150.40
  4. Step 4: Simplify right side
    47,315.60x = 1,146,171,277.44
  5. Step 5: Solve for x
    x = 1,146,171,277.44/47,315.60
  6. Step 6: Final answer
    x = 24,223.96

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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.