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Finding the Fourth Proportional to 76,574.80, 114,815.16 and 29,773.12

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Solution

The fourth proportional to 76,574.80, 114,815.16 and 29,773.12 is: 44,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.80 : 114,815.16 = 29,773.12 : x
  2. Step 2: Convert to fraction form
    76,574.80/114,815.16 = 29,773.12/x
  3. Step 3: Cross multiply
    76,574.80x = 114,815.16 × 29,773.12
  4. Step 4: Simplify right side
    76,574.80x = 3,418,405,536.50
  5. Step 5: Solve for x
    x = 3,418,405,536.50/76,574.80
  6. Step 6: Final answer
    x = 44,641.39

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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.