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Finding the Fourth Proportional to 46,758.60, 70,124.94 and 13,469.67

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Solution

The fourth proportional to 46,758.60, 70,124.94 and 13,469.67 is: 20,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,758.60 : 70,124.94 = 13,469.67 : x
  2. Step 2: Convert to fraction form
    46,758.60/70,124.94 = 13,469.67/x
  3. Step 3: Cross multiply
    46,758.60x = 70,124.94 × 13,469.67
  4. Step 4: Simplify right side
    46,758.60x = 944,559,800.57
  5. Step 5: Solve for x
    x = 944,559,800.57/46,758.60
  6. Step 6: Final answer
    x = 20,200.77

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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.