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Finding the Fourth Proportional to 33,114.60, 49,680.70 and 14,386.60

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Solution

The fourth proportional to 33,114.60, 49,680.70 and 14,386.60 is: 21,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.60 : 49,680.70 = 14,386.60 : x
  2. Step 2: Convert to fraction form
    33,114.60/49,680.70 = 14,386.60/x
  3. Step 3: Cross multiply
    33,114.60x = 49,680.70 × 14,386.60
  4. Step 4: Simplify right side
    33,114.60x = 714,736,358.62
  5. Step 5: Solve for x
    x = 714,736,358.62/33,114.60
  6. Step 6: Final answer
    x = 21,583.72

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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.