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Finding the Fourth Proportional to 32,877.16, 49,321.93 and 10,696.88

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Solution

The fourth proportional to 32,877.16, 49,321.93 and 10,696.88 is: 16,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.16 : 49,321.93 = 10,696.88 : x
  2. Step 2: Convert to fraction form
    32,877.16/49,321.93 = 10,696.88/x
  3. Step 3: Cross multiply
    32,877.16x = 49,321.93 × 10,696.88
  4. Step 4: Simplify right side
    32,877.16x = 527,590,766.58
  5. Step 5: Solve for x
    x = 527,590,766.58/32,877.16
  6. Step 6: Final answer
    x = 16,047.33

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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.