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Finding the Fourth Proportional to 30,123.84, 41,571 and 16,695.32

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Solution

The fourth proportional to 30,123.84, 41,571 and 16,695.32 is: 23,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.84 : 41,571 = 16,695.32 : x
  2. Step 2: Convert to fraction form
    30,123.84/41,571 = 16,695.32/x
  3. Step 3: Cross multiply
    30,123.84x = 41,571 × 16,695.32
  4. Step 4: Simplify right side
    30,123.84x = 694,041,147.72
  5. Step 5: Solve for x
    x = 694,041,147.72/30,123.84
  6. Step 6: Final answer
    x = 23,039.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.