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Finding the Fourth Proportional to 78,509.75, 117,803.58 and 31,123.84

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Solution

The fourth proportional to 78,509.75, 117,803.58 and 31,123.84 is: 46,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.75 : 117,803.58 = 31,123.84 : x
  2. Step 2: Convert to fraction form
    78,509.75/117,803.58 = 31,123.84/x
  3. Step 3: Cross multiply
    78,509.75x = 117,803.58 × 31,123.84
  4. Step 4: Simplify right side
    78,509.75x = 3,666,499,775.35
  5. Step 5: Solve for x
    x = 3,666,499,775.35/78,509.75
  6. Step 6: Final answer
    x = 46,701.20

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