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Finding the Fourth Proportional to 122,846.16, 184,260.44 and 47,952.32

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Solution

The fourth proportional to 122,846.16, 184,260.44 and 47,952.32 is: 71,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,846.16 : 184,260.44 = 47,952.32 : x
  2. Step 2: Convert to fraction form
    122,846.16/184,260.44 = 47,952.32/x
  3. Step 3: Cross multiply
    122,846.16x = 184,260.44 × 47,952.32
  4. Step 4: Simplify right side
    122,846.16x = 8,835,715,582.22
  5. Step 5: Solve for x
    x = 8,835,715,582.22/122,846.16
  6. Step 6: Final answer
    x = 71,925.04

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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.