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Finding the Fourth Proportional to 46,983.45, 70,485.54 and 13,706.12

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Solution

The fourth proportional to 46,983.45, 70,485.54 and 13,706.12 is: 20,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,983.45 : 70,485.54 = 13,706.12 : x
  2. Step 2: Convert to fraction form
    46,983.45/70,485.54 = 13,706.12/x
  3. Step 3: Cross multiply
    46,983.45x = 70,485.54 × 13,706.12
  4. Step 4: Simplify right side
    46,983.45x = 966,083,269.50
  5. Step 5: Solve for x
    x = 966,083,269.50/46,983.45
  6. Step 6: Final answer
    x = 20,562.20

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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.