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Finding the Fourth Proportional to 30,317.54, 41,838.10 and 16,888

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Solution

The fourth proportional to 30,317.54, 41,838.10 and 16,888 is: 23,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,317.54 : 41,838.10 = 16,888 : x
  2. Step 2: Convert to fraction form
    30,317.54/41,838.10 = 16,888/x
  3. Step 3: Cross multiply
    30,317.54x = 41,838.10 × 16,888
  4. Step 4: Simplify right side
    30,317.54x = 706,561,832.80
  5. Step 5: Solve for x
    x = 706,561,832.80/30,317.54
  6. Step 6: Final answer
    x = 23,305.38

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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.