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Finding the Fourth Proportional to 30,938.94, 46,400.96 and 14,282.97

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Solution

The fourth proportional to 30,938.94, 46,400.96 and 14,282.97 is: 21,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.94 : 46,400.96 = 14,282.97 : x
  2. Step 2: Convert to fraction form
    30,938.94/46,400.96 = 14,282.97/x
  3. Step 3: Cross multiply
    30,938.94x = 46,400.96 × 14,282.97
  4. Step 4: Simplify right side
    30,938.94x = 662,743,448.24
  5. Step 5: Solve for x
    x = 662,743,448.24/30,938.94
  6. Step 6: Final answer
    x = 21,421.01

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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.