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Finding the Fourth Proportional to 120,533.29, 180,802.67 and 31,795.76

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Solution

The fourth proportional to 120,533.29, 180,802.67 and 31,795.76 is: 47,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,533.29 : 180,802.67 = 31,795.76 : x
  2. Step 2: Convert to fraction form
    120,533.29/180,802.67 = 31,795.76/x
  3. Step 3: Cross multiply
    120,533.29x = 180,802.67 × 31,795.76
  4. Step 4: Simplify right side
    120,533.29x = 5,748,758,595.71
  5. Step 5: Solve for x
    x = 5,748,758,595.71/120,533.29
  6. Step 6: Final answer
    x = 47,694.36

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