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Finding the Fourth Proportional to 46,800, 70,200 and 13,968

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Solution

The fourth proportional to 46,800, 70,200 and 13,968 is: 20,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800 : 70,200 = 13,968 : x
  2. Step 2: Convert to fraction form
    46,800/70,200 = 13,968/x
  3. Step 3: Cross multiply
    46,800x = 70,200 × 13,968
  4. Step 4: Simplify right side
    46,800x = 980,553,600
  5. Step 5: Solve for x
    x = 980,553,600/46,800
  6. Step 6: Final answer
    x = 20,952

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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.