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Finding the Fourth Proportional to 30,829.84, 46,154.64 and 27,875.16

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Solution

The fourth proportional to 30,829.84, 46,154.64 and 27,875.16 is: 41,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.84 : 46,154.64 = 27,875.16 : x
  2. Step 2: Convert to fraction form
    30,829.84/46,154.64 = 27,875.16/x
  3. Step 3: Cross multiply
    30,829.84x = 46,154.64 × 27,875.16
  4. Step 4: Simplify right side
    30,829.84x = 1,286,567,974.74
  5. Step 5: Solve for x
    x = 1,286,567,974.74/30,829.84
  6. Step 6: Final answer
    x = 41,731.26

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