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Finding the Fourth Proportional to 31,606.80, 47,410.20 and 16,054.80

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Solution

The fourth proportional to 31,606.80, 47,410.20 and 16,054.80 is: 24,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.80 : 47,410.20 = 16,054.80 : x
  2. Step 2: Convert to fraction form
    31,606.80/47,410.20 = 16,054.80/x
  3. Step 3: Cross multiply
    31,606.80x = 47,410.20 × 16,054.80
  4. Step 4: Simplify right side
    31,606.80x = 761,161,278.96
  5. Step 5: Solve for x
    x = 761,161,278.96/31,606.80
  6. Step 6: Final answer
    x = 24,082.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.