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Finding the Fourth Proportional to 56,145.60, 84,218.40 and 31,262.40

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Solution

The fourth proportional to 56,145.60, 84,218.40 and 31,262.40 is: 46,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145.60 : 84,218.40 = 31,262.40 : x
  2. Step 2: Convert to fraction form
    56,145.60/84,218.40 = 31,262.40/x
  3. Step 3: Cross multiply
    56,145.60x = 84,218.40 × 31,262.40
  4. Step 4: Simplify right side
    56,145.60x = 2,632,869,308.16
  5. Step 5: Solve for x
    x = 2,632,869,308.16/56,145.60
  6. Step 6: Final answer
    x = 46,893.60

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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.