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Finding the Fourth Proportional to 30,867.70, 46,300.26 and 13,093.46

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Solution

The fourth proportional to 30,867.70, 46,300.26 and 13,093.46 is: 19,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.70 : 46,300.26 = 13,093.46 : x
  2. Step 2: Convert to fraction form
    30,867.70/46,300.26 = 13,093.46/x
  3. Step 3: Cross multiply
    30,867.70x = 46,300.26 × 13,093.46
  4. Step 4: Simplify right side
    30,867.70x = 606,230,602.30
  5. Step 5: Solve for x
    x = 606,230,602.30/30,867.70
  6. Step 6: Final answer
    x = 19,639.64

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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.