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Finding the Fourth Proportional to 70,636.50, 105,830.22 and 37,283.08

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Solution

The fourth proportional to 70,636.50, 105,830.22 and 37,283.08 is: 55,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,636.50 : 105,830.22 = 37,283.08 : x
  2. Step 2: Convert to fraction form
    70,636.50/105,830.22 = 37,283.08/x
  3. Step 3: Cross multiply
    70,636.50x = 105,830.22 × 37,283.08
  4. Step 4: Simplify right side
    70,636.50x = 3,945,676,558.68
  5. Step 5: Solve for x
    x = 3,945,676,558.68/70,636.50
  6. Step 6: Final answer
    x = 55,858.89

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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.