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Finding the Fourth Proportional to 76,419.86, 105,460.65 and 42,430.54

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Solution

The fourth proportional to 76,419.86, 105,460.65 and 42,430.54 is: 58,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.86 : 105,460.65 = 42,430.54 : x
  2. Step 2: Convert to fraction form
    76,419.86/105,460.65 = 42,430.54/x
  3. Step 3: Cross multiply
    76,419.86x = 105,460.65 × 42,430.54
  4. Step 4: Simplify right side
    76,419.86x = 4,474,752,262.34
  5. Step 5: Solve for x
    x = 4,474,752,262.34/76,419.86
  6. Step 6: Final answer
    x = 58,554.83

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