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Finding the Fourth Proportional to 123,364.46, 184,966.49 and 48,491.93

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Solution

The fourth proportional to 123,364.46, 184,966.49 and 48,491.93 is: 72,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,364.46 : 184,966.49 = 48,491.93 : x
  2. Step 2: Convert to fraction form
    123,364.46/184,966.49 = 48,491.93/x
  3. Step 3: Cross multiply
    123,364.46x = 184,966.49 × 48,491.93
  4. Step 4: Simplify right side
    123,364.46x = 8,969,381,281.82
  5. Step 5: Solve for x
    x = 8,969,381,281.82/123,364.46
  6. Step 6: Final answer
    x = 72,706.37

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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.