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Finding the Fourth Proportional to 30,957.46, 42,722.16 and 16,811.20

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Solution

The fourth proportional to 30,957.46, 42,722.16 and 16,811.20 is: 23,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.46 : 42,722.16 = 16,811.20 : x
  2. Step 2: Convert to fraction form
    30,957.46/42,722.16 = 16,811.20/x
  3. Step 3: Cross multiply
    30,957.46x = 42,722.16 × 16,811.20
  4. Step 4: Simplify right side
    30,957.46x = 718,210,776.19
  5. Step 5: Solve for x
    x = 718,210,776.19/30,957.46
  6. Step 6: Final answer
    x = 23,199.93

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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.