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Finding the Fourth Proportional to 70,811.08, 106,282.32 and 35,775.34

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Solution

The fourth proportional to 70,811.08, 106,282.32 and 35,775.34 is: 53,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811.08 : 106,282.32 = 35,775.34 : x
  2. Step 2: Convert to fraction form
    70,811.08/106,282.32 = 35,775.34/x
  3. Step 3: Cross multiply
    70,811.08x = 106,282.32 × 35,775.34
  4. Step 4: Simplify right side
    70,811.08x = 3,802,286,133.99
  5. Step 5: Solve for x
    x = 3,802,286,133.99/70,811.08
  6. Step 6: Final answer
    x = 53,696.20

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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.