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Finding the Fourth Proportional to 30,986.64, 42,762.21 and 16,840.41

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Solution

The fourth proportional to 30,986.64, 42,762.21 and 16,840.41 is: 23,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.64 : 42,762.21 = 16,840.41 : x
  2. Step 2: Convert to fraction form
    30,986.64/42,762.21 = 16,840.41/x
  3. Step 3: Cross multiply
    30,986.64x = 42,762.21 × 16,840.41
  4. Step 4: Simplify right side
    30,986.64x = 720,133,148.91
  5. Step 5: Solve for x
    x = 720,133,148.91/30,986.64
  6. Step 6: Final answer
    x = 23,240.12

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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.