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Finding the Fourth Proportional to 45,683, 68,533.32 and 16,101.80

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Solution

The fourth proportional to 45,683, 68,533.32 and 16,101.80 is: 24,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,683 : 68,533.32 = 16,101.80 : x
  2. Step 2: Convert to fraction form
    45,683/68,533.32 = 16,101.80/x
  3. Step 3: Cross multiply
    45,683x = 68,533.32 × 16,101.80
  4. Step 4: Simplify right side
    45,683x = 1,103,509,811.98
  5. Step 5: Solve for x
    x = 1,103,509,811.98/45,683
  6. Step 6: Final answer
    x = 24,155.81

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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.