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Finding the Fourth Proportional to 30,946.96, 46,412.95 and 14,290.98

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Solution

The fourth proportional to 30,946.96, 46,412.95 and 14,290.98 is: 21,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.96 : 46,412.95 = 14,290.98 : x
  2. Step 2: Convert to fraction form
    30,946.96/46,412.95 = 14,290.98/x
  3. Step 3: Cross multiply
    30,946.96x = 46,412.95 × 14,290.98
  4. Step 4: Simplify right side
    30,946.96x = 663,286,540.19
  5. Step 5: Solve for x
    x = 663,286,540.19/30,946.96
  6. Step 6: Final answer
    x = 21,433.01

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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.