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Finding the Fourth Proportional to 70,518.54, 105,756.75 and 37,220.25

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Solution

The fourth proportional to 70,518.54, 105,756.75 and 37,220.25 is: 55,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518.54 : 105,756.75 = 37,220.25 : x
  2. Step 2: Convert to fraction form
    70,518.54/105,756.75 = 37,220.25/x
  3. Step 3: Cross multiply
    70,518.54x = 105,756.75 × 37,220.25
  4. Step 4: Simplify right side
    70,518.54x = 3,936,292,674.19
  5. Step 5: Solve for x
    x = 3,936,292,674.19/70,518.54
  6. Step 6: Final answer
    x = 55,819.26

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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.