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Finding the Fourth Proportional to 102,384.42, 153,577.02 and 31,306.74

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Solution

The fourth proportional to 102,384.42, 153,577.02 and 31,306.74 is: 46,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.42 : 153,577.02 = 31,306.74 : x
  2. Step 2: Convert to fraction form
    102,384.42/153,577.02 = 31,306.74/x
  3. Step 3: Cross multiply
    102,384.42x = 153,577.02 × 31,306.74
  4. Step 4: Simplify right side
    102,384.42x = 4,807,995,835.11
  5. Step 5: Solve for x
    x = 4,807,995,835.11/102,384.42
  6. Step 6: Final answer
    x = 46,960.23

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