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Finding the Fourth Proportional to 122,847.71, 184,270.96 and 47,975.46

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Solution

The fourth proportional to 122,847.71, 184,270.96 and 47,975.46 is: 71,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,847.71 : 184,270.96 = 47,975.46 : x
  2. Step 2: Convert to fraction form
    122,847.71/184,270.96 = 47,975.46/x
  3. Step 3: Cross multiply
    122,847.71x = 184,270.96 × 47,975.46
  4. Step 4: Simplify right side
    122,847.71x = 8,840,484,070.64
  5. Step 5: Solve for x
    x = 8,840,484,070.64/122,847.71
  6. Step 6: Final answer
    x = 71,962.95

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1.5x scale

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.