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Finding the Fourth Proportional to 78,533.47, 117,799.66 and 31,785.67

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Solution

The fourth proportional to 78,533.47, 117,799.66 and 31,785.67 is: 47,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,533.47 : 117,799.66 = 31,785.67 : x
  2. Step 2: Convert to fraction form
    78,533.47/117,799.66 = 31,785.67/x
  3. Step 3: Cross multiply
    78,533.47x = 117,799.66 × 31,785.67
  4. Step 4: Simplify right side
    78,533.47x = 3,744,340,744.91
  5. Step 5: Solve for x
    x = 3,744,340,744.91/78,533.47
  6. Step 6: Final answer
    x = 47,678.28

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