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Finding the Fourth Proportional to 46,678.50, 70,017.75 and 13,846.50

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Solution

The fourth proportional to 46,678.50, 70,017.75 and 13,846.50 is: 20,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.50 : 70,017.75 = 13,846.50 : x
  2. Step 2: Convert to fraction form
    46,678.50/70,017.75 = 13,846.50/x
  3. Step 3: Cross multiply
    46,678.50x = 70,017.75 × 13,846.50
  4. Step 4: Simplify right side
    46,678.50x = 969,500,775.38
  5. Step 5: Solve for x
    x = 969,500,775.38/46,678.50
  6. Step 6: Final answer
    x = 20,769.75

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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.