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Finding the Fourth Proportional to 122,934.83, 184,409.64 and 38,697.74

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Solution

The fourth proportional to 122,934.83, 184,409.64 and 38,697.74 is: 58,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,934.83 : 184,409.64 = 38,697.74 : x
  2. Step 2: Convert to fraction form
    122,934.83/184,409.64 = 38,697.74/x
  3. Step 3: Cross multiply
    122,934.83x = 184,409.64 × 38,697.74
  4. Step 4: Simplify right side
    122,934.83x = 7,136,235,380.17
  5. Step 5: Solve for x
    x = 7,136,235,380.17/122,934.83
  6. Step 6: Final answer
    x = 58,048.93

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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.