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Finding the Fourth Proportional to 30,871.16, 42,602.50 and 16,724.32

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Solution

The fourth proportional to 30,871.16, 42,602.50 and 16,724.32 is: 23,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.16 : 42,602.50 = 16,724.32 : x
  2. Step 2: Convert to fraction form
    30,871.16/42,602.50 = 16,724.32/x
  3. Step 3: Cross multiply
    30,871.16x = 42,602.50 × 16,724.32
  4. Step 4: Simplify right side
    30,871.16x = 712,497,842.80
  5. Step 5: Solve for x
    x = 712,497,842.80/30,871.16
  6. Step 6: Final answer
    x = 23,079.72

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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.