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Finding the Fourth Proportional to 30,252.54, 41,746.10 and 16,823

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Solution

The fourth proportional to 30,252.54, 41,746.10 and 16,823 is: 23,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.54 : 41,746.10 = 16,823 : x
  2. Step 2: Convert to fraction form
    30,252.54/41,746.10 = 16,823/x
  3. Step 3: Cross multiply
    30,252.54x = 41,746.10 × 16,823
  4. Step 4: Simplify right side
    30,252.54x = 702,294,640.30
  5. Step 5: Solve for x
    x = 702,294,640.30/30,252.54
  6. Step 6: Final answer
    x = 23,214.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.