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Finding the Fourth Proportional to 31,677.60, 47,458.80 and 25,802.40

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Solution

The fourth proportional to 31,677.60, 47,458.80 and 25,802.40 is: 38,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.60 : 47,458.80 = 25,802.40 : x
  2. Step 2: Convert to fraction form
    31,677.60/47,458.80 = 25,802.40/x
  3. Step 3: Cross multiply
    31,677.60x = 47,458.80 × 25,802.40
  4. Step 4: Simplify right side
    31,677.60x = 1,224,550,941.12
  5. Step 5: Solve for x
    x = 1,224,550,941.12/31,677.60
  6. Step 6: Final answer
    x = 38,656.68

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