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Finding the Fourth Proportional to 31,778.64, 47,524.76 and 24,284.40

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Solution

The fourth proportional to 31,778.64, 47,524.76 and 24,284.40 is: 36,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.64 : 47,524.76 = 24,284.40 : x
  2. Step 2: Convert to fraction form
    31,778.64/47,524.76 = 24,284.40/x
  3. Step 3: Cross multiply
    31,778.64x = 47,524.76 × 24,284.40
  4. Step 4: Simplify right side
    31,778.64x = 1,154,110,281.74
  5. Step 5: Solve for x
    x = 1,154,110,281.74/31,778.64
  6. Step 6: Final answer
    x = 36,317.17

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