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Finding the Fourth Proportional to 106,345.45, 159,518.13 and 31,459.78

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Solution

The fourth proportional to 106,345.45, 159,518.13 and 31,459.78 is: 47,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,345.45 : 159,518.13 = 31,459.78 : x
  2. Step 2: Convert to fraction form
    106,345.45/159,518.13 = 31,459.78/x
  3. Step 3: Cross multiply
    106,345.45x = 159,518.13 × 31,459.78
  4. Step 4: Simplify right side
    106,345.45x = 5,018,405,275.81
  5. Step 5: Solve for x
    x = 5,018,405,275.81/106,345.45
  6. Step 6: Final answer
    x = 47,189.66

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