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Finding the Fourth Proportional to 30,858.94, 46,281.46 and 14,202.98

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Solution

The fourth proportional to 30,858.94, 46,281.46 and 14,202.98 is: 21,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.94 : 46,281.46 = 14,202.98 : x
  2. Step 2: Convert to fraction form
    30,858.94/46,281.46 = 14,202.98/x
  3. Step 3: Cross multiply
    30,858.94x = 46,281.46 × 14,202.98
  4. Step 4: Simplify right side
    30,858.94x = 657,334,650.75
  5. Step 5: Solve for x
    x = 657,334,650.75/30,858.94
  6. Step 6: Final answer
    x = 21,301.27

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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.