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Finding the Fourth Proportional to 70,777.96, 106,232.57 and 35,742.22

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Solution

The fourth proportional to 70,777.96, 106,232.57 and 35,742.22 is: 53,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777.96 : 106,232.57 = 35,742.22 : x
  2. Step 2: Convert to fraction form
    70,777.96/106,232.57 = 35,742.22/x
  3. Step 3: Cross multiply
    70,777.96x = 106,232.57 × 35,742.22
  4. Step 4: Simplify right side
    70,777.96x = 3,796,987,888.11
  5. Step 5: Solve for x
    x = 3,796,987,888.11/70,777.96
  6. Step 6: Final answer
    x = 53,646.47

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1.5x scale

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.