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Finding the Fourth Proportional to 31,976.80, 48,008.40 and 20,312.80

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Solution

The fourth proportional to 31,976.80, 48,008.40 and 20,312.80 is: 30,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976.80 : 48,008.40 = 20,312.80 : x
  2. Step 2: Convert to fraction form
    31,976.80/48,008.40 = 20,312.80/x
  3. Step 3: Cross multiply
    31,976.80x = 48,008.40 × 20,312.80
  4. Step 4: Simplify right side
    31,976.80x = 975,185,027.52
  5. Step 5: Solve for x
    x = 975,185,027.52/31,976.80
  6. Step 6: Final answer
    x = 30,496.64

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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.