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Finding the Fourth Proportional to 70,220.76, 105,362.16 and 36,933.24

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Solution

The fourth proportional to 70,220.76, 105,362.16 and 36,933.24 is: 55,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,220.76 : 105,362.16 = 36,933.24 : x
  2. Step 2: Convert to fraction form
    70,220.76/105,362.16 = 36,933.24/x
  3. Step 3: Cross multiply
    70,220.76x = 105,362.16 × 36,933.24
  4. Step 4: Simplify right side
    70,220.76x = 3,891,365,942.20
  5. Step 5: Solve for x
    x = 3,891,365,942.20/70,220.76
  6. Step 6: Final answer
    x = 55,416.18

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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.