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Finding the Fourth Proportional to 105,696.34, 158,544.51 and 35,569.78

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Solution

The fourth proportional to 105,696.34, 158,544.51 and 35,569.78 is: 53,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.34 : 158,544.51 = 35,569.78 : x
  2. Step 2: Convert to fraction form
    105,696.34/158,544.51 = 35,569.78/x
  3. Step 3: Cross multiply
    105,696.34x = 158,544.51 × 35,569.78
  4. Step 4: Simplify right side
    105,696.34x = 5,639,393,340.91
  5. Step 5: Solve for x
    x = 5,639,393,340.91/105,696.34
  6. Step 6: Final answer
    x = 53,354.67

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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.