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Finding the Fourth Proportional to 45,801.16, 68,701.50 and 14,629

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Solution

The fourth proportional to 45,801.16, 68,701.50 and 14,629 is: 21,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,801.16 : 68,701.50 = 14,629 : x
  2. Step 2: Convert to fraction form
    45,801.16/68,701.50 = 14,629/x
  3. Step 3: Cross multiply
    45,801.16x = 68,701.50 × 14,629
  4. Step 4: Simplify right side
    45,801.16x = 1,005,034,243.50
  5. Step 5: Solve for x
    x = 1,005,034,243.50/45,801.16
  6. Step 6: Final answer
    x = 21,943.42

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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.