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Finding the Fourth Proportional to 75,157.84, 112,754.04 and 22,568.32

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Solution

The fourth proportional to 75,157.84, 112,754.04 and 22,568.32 is: 33,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,157.84 : 112,754.04 = 22,568.32 : x
  2. Step 2: Convert to fraction form
    75,157.84/112,754.04 = 22,568.32/x
  3. Step 3: Cross multiply
    75,157.84x = 112,754.04 × 22,568.32
  4. Step 4: Simplify right side
    75,157.84x = 2,544,669,256.01
  5. Step 5: Solve for x
    x = 2,544,669,256.01/75,157.84
  6. Step 6: Final answer
    x = 33,857.67

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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.