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Finding the Fourth Proportional to 65,014.50, 97,558.20 and 64,518.78

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Solution

The fourth proportional to 65,014.50, 97,558.20 and 64,518.78 is: 96,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.50 : 97,558.20 = 64,518.78 : x
  2. Step 2: Convert to fraction form
    65,014.50/97,558.20 = 64,518.78/x
  3. Step 3: Cross multiply
    65,014.50x = 97,558.20 × 64,518.78
  4. Step 4: Simplify right side
    65,014.50x = 6,294,336,043.00
  5. Step 5: Solve for x
    x = 6,294,336,043.00/65,014.50
  6. Step 6: Final answer
    x = 96,814.34

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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.