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Finding the Fourth Proportional to 122,505.32, 183,641.34 and 39,341

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Solution

The fourth proportional to 122,505.32, 183,641.34 and 39,341 is: 58,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505.32 : 183,641.34 = 39,341 : x
  2. Step 2: Convert to fraction form
    122,505.32/183,641.34 = 39,341/x
  3. Step 3: Cross multiply
    122,505.32x = 183,641.34 × 39,341
  4. Step 4: Simplify right side
    122,505.32x = 7,224,633,956.94
  5. Step 5: Solve for x
    x = 7,224,633,956.94/122,505.32
  6. Step 6: Final answer
    x = 58,974.04

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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.