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Finding the Fourth Proportional to 76,624, 105,742.72 and 43,092.48

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Solution

The fourth proportional to 76,624, 105,742.72 and 43,092.48 is: 59,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624 : 105,742.72 = 43,092.48 : x
  2. Step 2: Convert to fraction form
    76,624/105,742.72 = 43,092.48/x
  3. Step 3: Cross multiply
    76,624x = 105,742.72 × 43,092.48
  4. Step 4: Simplify right side
    76,624x = 4,556,716,046.75
  5. Step 5: Solve for x
    x = 4,556,716,046.75/76,624
  6. Step 6: Final answer
    x = 59,468.52

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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.