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Finding the Fourth Proportional to 102,457.16, 153,685.74 and 27,577.46

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Solution

The fourth proportional to 102,457.16, 153,685.74 and 27,577.46 is: 41,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.16 : 153,685.74 = 27,577.46 : x
  2. Step 2: Convert to fraction form
    102,457.16/153,685.74 = 27,577.46/x
  3. Step 3: Cross multiply
    102,457.16x = 153,685.74 × 27,577.46
  4. Step 4: Simplify right side
    102,457.16x = 4,238,262,347.42
  5. Step 5: Solve for x
    x = 4,238,262,347.42/102,457.16
  6. Step 6: Final answer
    x = 41,366.19

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