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Finding the Fourth Proportional to 45,960.96, 68,946.16 and 12,681.02

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Solution

The fourth proportional to 45,960.96, 68,946.16 and 12,681.02 is: 19,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960.96 : 68,946.16 = 12,681.02 : x
  2. Step 2: Convert to fraction form
    45,960.96/68,946.16 = 12,681.02/x
  3. Step 3: Cross multiply
    45,960.96x = 68,946.16 × 12,681.02
  4. Step 4: Simplify right side
    45,960.96x = 874,307,633.88
  5. Step 5: Solve for x
    x = 874,307,633.88/45,960.96
  6. Step 6: Final answer
    x = 19,022.83

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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.