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Finding the Fourth Proportional to 30,809.70, 46,215.90 and 16,009.38

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Solution

The fourth proportional to 30,809.70, 46,215.90 and 16,009.38 is: 24,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.70 : 46,215.90 = 16,009.38 : x
  2. Step 2: Convert to fraction form
    30,809.70/46,215.90 = 16,009.38/x
  3. Step 3: Cross multiply
    30,809.70x = 46,215.90 × 16,009.38
  4. Step 4: Simplify right side
    30,809.70x = 739,887,905.14
  5. Step 5: Solve for x
    x = 739,887,905.14/30,809.70
  6. Step 6: Final answer
    x = 24,014.77

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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.