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Finding the Fourth Proportional to 37,464.68, 51,706.44 and 21,548.84

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Solution

The fourth proportional to 37,464.68, 51,706.44 and 21,548.84 is: 29,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.68 : 51,706.44 = 21,548.84 : x
  2. Step 2: Convert to fraction form
    37,464.68/51,706.44 = 21,548.84/x
  3. Step 3: Cross multiply
    37,464.68x = 51,706.44 × 21,548.84
  4. Step 4: Simplify right side
    37,464.68x = 1,114,213,802.53
  5. Step 5: Solve for x
    x = 1,114,213,802.53/37,464.68
  6. Step 6: Final answer
    x = 29,740.38

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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.