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Finding the Fourth Proportional to 30,956.84, 46,443.11 and 14,328.84

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Solution

The fourth proportional to 30,956.84, 46,443.11 and 14,328.84 is: 21,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.84 : 46,443.11 = 14,328.84 : x
  2. Step 2: Convert to fraction form
    30,956.84/46,443.11 = 14,328.84/x
  3. Step 3: Cross multiply
    30,956.84x = 46,443.11 × 14,328.84
  4. Step 4: Simplify right side
    30,956.84x = 665,475,820.65
  5. Step 5: Solve for x
    x = 665,475,820.65/30,956.84
  6. Step 6: Final answer
    x = 21,496.89

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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.