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Finding the Fourth Proportional to 32,064.80, 48,051.84 and 25,131.20

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Solution

The fourth proportional to 32,064.80, 48,051.84 and 25,131.20 is: 37,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.80 : 48,051.84 = 25,131.20 : x
  2. Step 2: Convert to fraction form
    32,064.80/48,051.84 = 25,131.20/x
  3. Step 3: Cross multiply
    32,064.80x = 48,051.84 × 25,131.20
  4. Step 4: Simplify right side
    32,064.80x = 1,207,600,401.41
  5. Step 5: Solve for x
    x = 1,207,600,401.41/32,064.80
  6. Step 6: Final answer
    x = 37,661.25

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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.