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Finding the Fourth Proportional to 76,693, 105,836.36 and 43,159.72

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Solution

The fourth proportional to 76,693, 105,836.36 and 43,159.72 is: 59,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693 : 105,836.36 = 43,159.72 : x
  2. Step 2: Convert to fraction form
    76,693/105,836.36 = 43,159.72/x
  3. Step 3: Cross multiply
    76,693x = 105,836.36 × 43,159.72
  4. Step 4: Simplify right side
    76,693x = 4,567,867,663.42
  5. Step 5: Solve for x
    x = 4,567,867,663.42/76,693
  6. Step 6: Final answer
    x = 59,560.42

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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.