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Finding the Fourth Proportional to 32,871.75, 49,283.01 and 10,671.87

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Solution

The fourth proportional to 32,871.75, 49,283.01 and 10,671.87 is: 15,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.75 : 49,283.01 = 10,671.87 : x
  2. Step 2: Convert to fraction form
    32,871.75/49,283.01 = 10,671.87/x
  3. Step 3: Cross multiply
    32,871.75x = 49,283.01 × 10,671.87
  4. Step 4: Simplify right side
    32,871.75x = 525,941,875.93
  5. Step 5: Solve for x
    x = 525,941,875.93/32,871.75
  6. Step 6: Final answer
    x = 15,999.81

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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.