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Finding the Fourth Proportional to 109,914.40, 164,871.60 and 31,027.60

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Solution

The fourth proportional to 109,914.40, 164,871.60 and 31,027.60 is: 46,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,914.40 : 164,871.60 = 31,027.60 : x
  2. Step 2: Convert to fraction form
    109,914.40/164,871.60 = 31,027.60/x
  3. Step 3: Cross multiply
    109,914.40x = 164,871.60 × 31,027.60
  4. Step 4: Simplify right side
    109,914.40x = 5,115,570,056.16
  5. Step 5: Solve for x
    x = 5,115,570,056.16/109,914.40
  6. Step 6: Final answer
    x = 46,541.40

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Why These Related Problems?

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