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Finding the Fourth Proportional to 34,918, 48,186.84 and 20,014

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Solution

The fourth proportional to 34,918, 48,186.84 and 20,014 is: 27,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,918 : 48,186.84 = 20,014 : x
  2. Step 2: Convert to fraction form
    34,918/48,186.84 = 20,014/x
  3. Step 3: Cross multiply
    34,918x = 48,186.84 × 20,014
  4. Step 4: Simplify right side
    34,918x = 964,411,415.76
  5. Step 5: Solve for x
    x = 964,411,415.76/34,918
  6. Step 6: Final answer
    x = 27,619.32

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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.