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Finding the Fourth Proportional to 76,486.96, 105,548.32 and 42,497.60

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Solution

The fourth proportional to 76,486.96, 105,548.32 and 42,497.60 is: 58,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.96 : 105,548.32 = 42,497.60 : x
  2. Step 2: Convert to fraction form
    76,486.96/105,548.32 = 42,497.60/x
  3. Step 3: Cross multiply
    76,486.96x = 105,548.32 × 42,497.60
  4. Step 4: Simplify right side
    76,486.96x = 4,485,550,284.03
  5. Step 5: Solve for x
    x = 4,485,550,284.03/76,486.96
  6. Step 6: Final answer
    x = 58,644.64

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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.