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Finding the Fourth Proportional to 32,762.10, 49,102.02 and 14,020.10

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Solution

The fourth proportional to 32,762.10, 49,102.02 and 14,020.10 is: 21,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.10 : 49,102.02 = 14,020.10 : x
  2. Step 2: Convert to fraction form
    32,762.10/49,102.02 = 14,020.10/x
  3. Step 3: Cross multiply
    32,762.10x = 49,102.02 × 14,020.10
  4. Step 4: Simplify right side
    32,762.10x = 688,414,985.09
  5. Step 5: Solve for x
    x = 688,414,985.09/32,762.10
  6. Step 6: Final answer
    x = 21,012.54

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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.