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Finding the Fourth Proportional to 65,218.90, 97,828.35 and 54,850.90

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Solution

The fourth proportional to 65,218.90, 97,828.35 and 54,850.90 is: 82,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.90 : 97,828.35 = 54,850.90 : x
  2. Step 2: Convert to fraction form
    65,218.90/97,828.35 = 54,850.90/x
  3. Step 3: Cross multiply
    65,218.90x = 97,828.35 × 54,850.90
  4. Step 4: Simplify right side
    65,218.90x = 5,365,973,043.02
  5. Step 5: Solve for x
    x = 5,365,973,043.02/65,218.90
  6. Step 6: Final answer
    x = 82,276.35

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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.