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Finding the Fourth Proportional to 76,464.60, 114,675.03 and 29,706.54

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Solution

The fourth proportional to 76,464.60, 114,675.03 and 29,706.54 is: 44,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.60 : 114,675.03 = 29,706.54 : x
  2. Step 2: Convert to fraction form
    76,464.60/114,675.03 = 29,706.54/x
  3. Step 3: Cross multiply
    76,464.60x = 114,675.03 × 29,706.54
  4. Step 4: Simplify right side
    76,464.60x = 3,406,598,365.70
  5. Step 5: Solve for x
    x = 3,406,598,365.70/76,464.60
  6. Step 6: Final answer
    x = 44,551.31

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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.