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Finding the Fourth Proportional to 64,522.96, 89,041.56 and 36,228.80

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Solution

The fourth proportional to 64,522.96, 89,041.56 and 36,228.80 is: 49,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,522.96 : 89,041.56 = 36,228.80 : x
  2. Step 2: Convert to fraction form
    64,522.96/89,041.56 = 36,228.80/x
  3. Step 3: Cross multiply
    64,522.96x = 89,041.56 × 36,228.80
  4. Step 4: Simplify right side
    64,522.96x = 3,225,868,868.93
  5. Step 5: Solve for x
    x = 3,225,868,868.93/64,522.96
  6. Step 6: Final answer
    x = 49,995.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.