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Finding the Fourth Proportional to 76,477.97, 114,716.10 and 53,895.89

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Solution

The fourth proportional to 76,477.97, 114,716.10 and 53,895.89 is: 80,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.97 : 114,716.10 = 53,895.89 : x
  2. Step 2: Convert to fraction form
    76,477.97/114,716.10 = 53,895.89/x
  3. Step 3: Cross multiply
    76,477.97x = 114,716.10 × 53,895.89
  4. Step 4: Simplify right side
    76,477.97x = 6,182,726,306.83
  5. Step 5: Solve for x
    x = 6,182,726,306.83/76,477.97
  6. Step 6: Final answer
    x = 80,843.23

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1.5x scale

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.