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Finding the Fourth Proportional to 32,174.16, 44,420.04 and 25,486.80

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Solution

The fourth proportional to 32,174.16, 44,420.04 and 25,486.80 is: 35,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.16 : 44,420.04 = 25,486.80 : x
  2. Step 2: Convert to fraction form
    32,174.16/44,420.04 = 25,486.80/x
  3. Step 3: Cross multiply
    32,174.16x = 44,420.04 × 25,486.80
  4. Step 4: Simplify right side
    32,174.16x = 1,132,124,675.47
  5. Step 5: Solve for x
    x = 1,132,124,675.47/32,174.16
  6. Step 6: Final answer
    x = 35,187.39

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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.