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Finding the Fourth Proportional to 76,455.48, 105,645.46 and 59,814.84

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Solution

The fourth proportional to 76,455.48, 105,645.46 and 59,814.84 is: 82,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,455.48 : 105,645.46 = 59,814.84 : x
  2. Step 2: Convert to fraction form
    76,455.48/105,645.46 = 59,814.84/x
  3. Step 3: Cross multiply
    76,455.48x = 105,645.46 × 59,814.84
  4. Step 4: Simplify right side
    76,455.48x = 6,319,166,286.63
  5. Step 5: Solve for x
    x = 6,319,166,286.63/76,455.48
  6. Step 6: Final answer
    x = 82,651.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.