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Finding the Fourth Proportional to 46,778.46, 70,180.11 and 13,497.99

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Solution

The fourth proportional to 46,778.46, 70,180.11 and 13,497.99 is: 20,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,778.46 : 70,180.11 = 13,497.99 : x
  2. Step 2: Convert to fraction form
    46,778.46/70,180.11 = 13,497.99/x
  3. Step 3: Cross multiply
    46,778.46x = 70,180.11 × 13,497.99
  4. Step 4: Simplify right side
    46,778.46x = 947,290,422.98
  5. Step 5: Solve for x
    x = 947,290,422.98/46,778.46
  6. Step 6: Final answer
    x = 20,250.57

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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.