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Finding the Fourth Proportional to 45,632, 68,460.96 and 14,468.06

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Solution

The fourth proportional to 45,632, 68,460.96 and 14,468.06 is: 21,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,632 : 68,460.96 = 14,468.06 : x
  2. Step 2: Convert to fraction form
    45,632/68,460.96 = 14,468.06/x
  3. Step 3: Cross multiply
    45,632x = 68,460.96 × 14,468.06
  4. Step 4: Simplify right side
    45,632x = 990,497,276.94
  5. Step 5: Solve for x
    x = 990,497,276.94/45,632
  6. Step 6: Final answer
    x = 21,706.20

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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.