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Finding the Fourth Proportional to 75,716.32, 113,574.88 and 31,319

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Solution

The fourth proportional to 75,716.32, 113,574.88 and 31,319 is: 46,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.32 : 113,574.88 = 31,319 : x
  2. Step 2: Convert to fraction form
    75,716.32/113,574.88 = 31,319/x
  3. Step 3: Cross multiply
    75,716.32x = 113,574.88 × 31,319
  4. Step 4: Simplify right side
    75,716.32x = 3,557,051,666.72
  5. Step 5: Solve for x
    x = 3,557,051,666.72/75,716.32
  6. Step 6: Final answer
    x = 46,978.67

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