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Finding the Fourth Proportional to 76,905.84, 115,357.68 and 24,319.20

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Solution

The fourth proportional to 76,905.84, 115,357.68 and 24,319.20 is: 36,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,905.84 : 115,357.68 = 24,319.20 : x
  2. Step 2: Convert to fraction form
    76,905.84/115,357.68 = 24,319.20/x
  3. Step 3: Cross multiply
    76,905.84x = 115,357.68 × 24,319.20
  4. Step 4: Simplify right side
    76,905.84x = 2,805,406,491.46
  5. Step 5: Solve for x
    x = 2,805,406,491.46/76,905.84
  6. Step 6: Final answer
    x = 36,478.46

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