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Finding the Fourth Proportional to 54,272.24, 81,421.02 and 16,830.35

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Solution

The fourth proportional to 54,272.24, 81,421.02 and 16,830.35 is: 25,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,272.24 : 81,421.02 = 16,830.35 : x
  2. Step 2: Convert to fraction form
    54,272.24/81,421.02 = 16,830.35/x
  3. Step 3: Cross multiply
    54,272.24x = 81,421.02 × 16,830.35
  4. Step 4: Simplify right side
    54,272.24x = 1,370,344,263.96
  5. Step 5: Solve for x
    x = 1,370,344,263.96/54,272.24
  6. Step 6: Final answer
    x = 25,249.45

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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.