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Finding the Fourth Proportional to 52,214.76, 78,322.14 and 31,569.48

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Solution

The fourth proportional to 52,214.76, 78,322.14 and 31,569.48 is: 47,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214.76 : 78,322.14 = 31,569.48 : x
  2. Step 2: Convert to fraction form
    52,214.76/78,322.14 = 31,569.48/x
  3. Step 3: Cross multiply
    52,214.76x = 78,322.14 × 31,569.48
  4. Step 4: Simplify right side
    52,214.76x = 2,472,589,232.29
  5. Step 5: Solve for x
    x = 2,472,589,232.29/52,214.76
  6. Step 6: Final answer
    x = 47,354.22

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