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Finding the Fourth Proportional to 57,762.94, 86,677.69 and 24,480.38

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Solution

The fourth proportional to 57,762.94, 86,677.69 and 24,480.38 is: 36,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.94 : 86,677.69 = 24,480.38 : x
  2. Step 2: Convert to fraction form
    57,762.94/86,677.69 = 24,480.38/x
  3. Step 3: Cross multiply
    57,762.94x = 86,677.69 × 24,480.38
  4. Step 4: Simplify right side
    57,762.94x = 2,121,902,788.72
  5. Step 5: Solve for x
    x = 2,121,902,788.72/57,762.94
  6. Step 6: Final answer
    x = 36,734.67

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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.