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Finding the Fourth Proportional to 45,984.65, 68,966.03 and 12,703.97

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Solution

The fourth proportional to 45,984.65, 68,966.03 and 12,703.97 is: 19,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984.65 : 68,966.03 = 12,703.97 : x
  2. Step 2: Convert to fraction form
    45,984.65/68,966.03 = 12,703.97/x
  3. Step 3: Cross multiply
    45,984.65x = 68,966.03 × 12,703.97
  4. Step 4: Simplify right side
    45,984.65x = 876,142,580.31
  5. Step 5: Solve for x
    x = 876,142,580.31/45,984.65
  6. Step 6: Final answer
    x = 19,052.94

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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.