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Finding the Fourth Proportional to 45,234, 67,851.12 and 14,069.28

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Solution

The fourth proportional to 45,234, 67,851.12 and 14,069.28 is: 21,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 67,851.12 = 14,069.28 : x
  2. Step 2: Convert to fraction form
    45,234/67,851.12 = 14,069.28/x
  3. Step 3: Cross multiply
    45,234x = 67,851.12 × 14,069.28
  4. Step 4: Simplify right side
    45,234x = 954,616,405.59
  5. Step 5: Solve for x
    x = 954,616,405.59/45,234
  6. Step 6: Final answer
    x = 21,103.96

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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.