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Finding the Fourth Proportional to 48,015.70, 71,980.35 and 31,383.70

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Solution

The fourth proportional to 48,015.70, 71,980.35 and 31,383.70 is: 47,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015.70 : 71,980.35 = 31,383.70 : x
  2. Step 2: Convert to fraction form
    48,015.70/71,980.35 = 31,383.70/x
  3. Step 3: Cross multiply
    48,015.70x = 71,980.35 × 31,383.70
  4. Step 4: Simplify right side
    48,015.70x = 2,259,009,710.30
  5. Step 5: Solve for x
    x = 2,259,009,710.30/48,015.70
  6. Step 6: Final answer
    x = 47,047.31

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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.