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Finding the Fourth Proportional to 76,538.16, 114,807.08 and 21,134

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Solution

The fourth proportional to 76,538.16, 114,807.08 and 21,134 is: 31,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.16 : 114,807.08 = 21,134 : x
  2. Step 2: Convert to fraction form
    76,538.16/114,807.08 = 21,134/x
  3. Step 3: Cross multiply
    76,538.16x = 114,807.08 × 21,134
  4. Step 4: Simplify right side
    76,538.16x = 2,426,332,828.72
  5. Step 5: Solve for x
    x = 2,426,332,828.72/76,538.16
  6. Step 6: Final answer
    x = 31,700.96

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