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Finding the Fourth Proportional to 72,277.60, 108,435.30 and 27,905.80

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Solution

The fourth proportional to 72,277.60, 108,435.30 and 27,905.80 is: 41,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,277.60 : 108,435.30 = 27,905.80 : x
  2. Step 2: Convert to fraction form
    72,277.60/108,435.30 = 27,905.80/x
  3. Step 3: Cross multiply
    72,277.60x = 108,435.30 × 27,905.80
  4. Step 4: Simplify right side
    72,277.60x = 3,025,973,794.74
  5. Step 5: Solve for x
    x = 3,025,973,794.74/72,277.60
  6. Step 6: Final answer
    x = 41,866.00

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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.