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Finding the Fourth Proportional to 46,802.30, 70,163.94 and 21,829.19

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Solution

The fourth proportional to 46,802.30, 70,163.94 and 21,829.19 is: 32,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802.30 : 70,163.94 = 21,829.19 : x
  2. Step 2: Convert to fraction form
    46,802.30/70,163.94 = 21,829.19/x
  3. Step 3: Cross multiply
    46,802.30x = 70,163.94 × 21,829.19
  4. Step 4: Simplify right side
    46,802.30x = 1,531,621,626.59
  5. Step 5: Solve for x
    x = 1,531,621,626.59/46,802.30
  6. Step 6: Final answer
    x = 32,725.35

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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.