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Finding the Fourth Proportional to 30,374.84, 41,917.14 and 16,946.10

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Solution

The fourth proportional to 30,374.84, 41,917.14 and 16,946.10 is: 23,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.84 : 41,917.14 = 16,946.10 : x
  2. Step 2: Convert to fraction form
    30,374.84/41,917.14 = 16,946.10/x
  3. Step 3: Cross multiply
    30,374.84x = 41,917.14 × 16,946.10
  4. Step 4: Simplify right side
    30,374.84x = 710,332,046.15
  5. Step 5: Solve for x
    x = 710,332,046.15/30,374.84
  6. Step 6: Final answer
    x = 23,385.54

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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.