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Finding the Fourth Proportional to 30,974.79, 46,456.71 and 14,103.93

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Solution

The fourth proportional to 30,974.79, 46,456.71 and 14,103.93 is: 21,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.79 : 46,456.71 = 14,103.93 : x
  2. Step 2: Convert to fraction form
    30,974.79/46,456.71 = 14,103.93/x
  3. Step 3: Cross multiply
    30,974.79x = 46,456.71 × 14,103.93
  4. Step 4: Simplify right side
    30,974.79x = 655,222,185.87
  5. Step 5: Solve for x
    x = 655,222,185.87/30,974.79
  6. Step 6: Final answer
    x = 21,153.40

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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.