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Finding the Fourth Proportional to 30,870.64, 42,585.96 and 20,258.80

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Solution

The fourth proportional to 30,870.64, 42,585.96 and 20,258.80 is: 27,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.64 : 42,585.96 = 20,258.80 : x
  2. Step 2: Convert to fraction form
    30,870.64/42,585.96 = 20,258.80/x
  3. Step 3: Cross multiply
    30,870.64x = 42,585.96 × 20,258.80
  4. Step 4: Simplify right side
    30,870.64x = 862,740,446.45
  5. Step 5: Solve for x
    x = 862,740,446.45/30,870.64
  6. Step 6: Final answer
    x = 27,946.96

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