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Finding the Fourth Proportional to 32,871.80, 49,280.70 and 14,166.20

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Solution

The fourth proportional to 32,871.80, 49,280.70 and 14,166.20 is: 21,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.80 : 49,280.70 = 14,166.20 : x
  2. Step 2: Convert to fraction form
    32,871.80/49,280.70 = 14,166.20/x
  3. Step 3: Cross multiply
    32,871.80x = 49,280.70 × 14,166.20
  4. Step 4: Simplify right side
    32,871.80x = 698,120,252.34
  5. Step 5: Solve for x
    x = 698,120,252.34/32,871.80
  6. Step 6: Final answer
    x = 21,237.66

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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.