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Finding the Fourth Proportional to 39,137.60, 58,744.80 and 19,438.40

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Solution

The fourth proportional to 39,137.60, 58,744.80 and 19,438.40 is: 29,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,137.60 : 58,744.80 = 19,438.40 : x
  2. Step 2: Convert to fraction form
    39,137.60/58,744.80 = 19,438.40/x
  3. Step 3: Cross multiply
    39,137.60x = 58,744.80 × 19,438.40
  4. Step 4: Simplify right side
    39,137.60x = 1,141,904,920.32
  5. Step 5: Solve for x
    x = 1,141,904,920.32/39,137.60
  6. Step 6: Final answer
    x = 29,176.67

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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.