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Finding the Fourth Proportional to 55,200.40, 76,184.04 and 32,842

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Solution

The fourth proportional to 55,200.40, 76,184.04 and 32,842 is: 45,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,200.40 : 76,184.04 = 32,842 : x
  2. Step 2: Convert to fraction form
    55,200.40/76,184.04 = 32,842/x
  3. Step 3: Cross multiply
    55,200.40x = 76,184.04 × 32,842
  4. Step 4: Simplify right side
    55,200.40x = 2,502,036,241.68
  5. Step 5: Solve for x
    x = 2,502,036,241.68/55,200.40
  6. Step 6: Final answer
    x = 45,326.42

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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.