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Finding the Fourth Proportional to 30,871.24, 42,602.16 and 16,724.20

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Solution

The fourth proportional to 30,871.24, 42,602.16 and 16,724.20 is: 23,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.24 : 42,602.16 = 16,724.20 : x
  2. Step 2: Convert to fraction form
    30,871.24/42,602.16 = 16,724.20/x
  3. Step 3: Cross multiply
    30,871.24x = 42,602.16 × 16,724.20
  4. Step 4: Simplify right side
    30,871.24x = 712,487,044.27
  5. Step 5: Solve for x
    x = 712,487,044.27/30,871.24
  6. Step 6: Final answer
    x = 23,079.31

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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.