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Finding the Fourth Proportional to 52,583.60, 78,875.40 and 31,847.60

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Solution

The fourth proportional to 52,583.60, 78,875.40 and 31,847.60 is: 47,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583.60 : 78,875.40 = 31,847.60 : x
  2. Step 2: Convert to fraction form
    52,583.60/78,875.40 = 31,847.60/x
  3. Step 3: Cross multiply
    52,583.60x = 78,875.40 × 31,847.60
  4. Step 4: Simplify right side
    52,583.60x = 2,511,992,189.04
  5. Step 5: Solve for x
    x = 2,511,992,189.04/52,583.60
  6. Step 6: Final answer
    x = 47,771.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.