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Finding the Fourth Proportional to 54,809.60, 82,214.40 and 19,750.40

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Solution

The fourth proportional to 54,809.60, 82,214.40 and 19,750.40 is: 29,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.60 : 82,214.40 = 19,750.40 : x
  2. Step 2: Convert to fraction form
    54,809.60/82,214.40 = 19,750.40/x
  3. Step 3: Cross multiply
    54,809.60x = 82,214.40 × 19,750.40
  4. Step 4: Simplify right side
    54,809.60x = 1,623,767,285.76
  5. Step 5: Solve for x
    x = 1,623,767,285.76/54,809.60
  6. Step 6: Final answer
    x = 29,625.60

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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.