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Finding the Fourth Proportional to 46,803.50, 70,205.26 and 13,971.50

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Solution

The fourth proportional to 46,803.50, 70,205.26 and 13,971.50 is: 20,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803.50 : 70,205.26 = 13,971.50 : x
  2. Step 2: Convert to fraction form
    46,803.50/70,205.26 = 13,971.50/x
  3. Step 3: Cross multiply
    46,803.50x = 70,205.26 × 13,971.50
  4. Step 4: Simplify right side
    46,803.50x = 980,872,790.09
  5. Step 5: Solve for x
    x = 980,872,790.09/46,803.50
  6. Step 6: Final answer
    x = 20,957.25

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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.