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Finding the Fourth Proportional to 78,564.84, 108,419.28 and 42,754.84

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Solution

The fourth proportional to 78,564.84, 108,419.28 and 42,754.84 is: 59,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.84 : 108,419.28 = 42,754.84 : x
  2. Step 2: Convert to fraction form
    78,564.84/108,419.28 = 42,754.84/x
  3. Step 3: Cross multiply
    78,564.84x = 108,419.28 × 42,754.84
  4. Step 4: Simplify right side
    78,564.84x = 4,635,448,969.32
  5. Step 5: Solve for x
    x = 4,635,448,969.32/78,564.84
  6. Step 6: Final answer
    x = 59,001.57

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