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Finding the Fourth Proportional to 32,696.96, 49,019.44 and 14,216

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Solution

The fourth proportional to 32,696.96, 49,019.44 and 14,216 is: 21,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696.96 : 49,019.44 = 14,216 : x
  2. Step 2: Convert to fraction form
    32,696.96/49,019.44 = 14,216/x
  3. Step 3: Cross multiply
    32,696.96x = 49,019.44 × 14,216
  4. Step 4: Simplify right side
    32,696.96x = 696,860,359.04
  5. Step 5: Solve for x
    x = 696,860,359.04/32,696.96
  6. Step 6: Final answer
    x = 21,312.70

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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.