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Finding the Fourth Proportional to 122,811.84, 184,217.76 and 39,712.32

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Solution

The fourth proportional to 122,811.84, 184,217.76 and 39,712.32 is: 59,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,811.84 : 184,217.76 = 39,712.32 : x
  2. Step 2: Convert to fraction form
    122,811.84/184,217.76 = 39,712.32/x
  3. Step 3: Cross multiply
    122,811.84x = 184,217.76 × 39,712.32
  4. Step 4: Simplify right side
    122,811.84x = 7,315,714,634.80
  5. Step 5: Solve for x
    x = 7,315,714,634.80/122,811.84
  6. Step 6: Final answer
    x = 59,568.48

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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.