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Finding the Fourth Proportional to 114,459.12, 171,655.84 and 34,504.88

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Solution

The fourth proportional to 114,459.12, 171,655.84 and 34,504.88 is: 51,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.12 : 171,655.84 = 34,504.88 : x
  2. Step 2: Convert to fraction form
    114,459.12/171,655.84 = 34,504.88/x
  3. Step 3: Cross multiply
    114,459.12x = 171,655.84 × 34,504.88
  4. Step 4: Simplify right side
    114,459.12x = 5,922,964,160.50
  5. Step 5: Solve for x
    x = 5,922,964,160.50/114,459.12
  6. Step 6: Final answer
    x = 51,747.42

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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.