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Finding the Fourth Proportional to 32,506.38, 44,858.80 and 17,602.38

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Solution

The fourth proportional to 32,506.38, 44,858.80 and 17,602.38 is: 24,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.38 : 44,858.80 = 17,602.38 : x
  2. Step 2: Convert to fraction form
    32,506.38/44,858.80 = 17,602.38/x
  3. Step 3: Cross multiply
    32,506.38x = 44,858.80 × 17,602.38
  4. Step 4: Simplify right side
    32,506.38x = 789,621,643.94
  5. Step 5: Solve for x
    x = 789,621,643.94/32,506.38
  6. Step 6: Final answer
    x = 24,291.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.