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Finding the Fourth Proportional to 102,516.47, 153,779.34 and 31,433.92

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Solution

The fourth proportional to 102,516.47, 153,779.34 and 31,433.92 is: 47,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516.47 : 153,779.34 = 31,433.92 : x
  2. Step 2: Convert to fraction form
    102,516.47/153,779.34 = 31,433.92/x
  3. Step 3: Cross multiply
    102,516.47x = 153,779.34 × 31,433.92
  4. Step 4: Simplify right side
    102,516.47x = 4,833,887,086.76
  5. Step 5: Solve for x
    x = 4,833,887,086.76/102,516.47
  6. Step 6: Final answer
    x = 47,152.30

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