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Finding the Fourth Proportional to 65,012.50, 97,555.20 and 64,516.78

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Solution

The fourth proportional to 65,012.50, 97,555.20 and 64,516.78 is: 96,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.50 : 97,555.20 = 64,516.78 : x
  2. Step 2: Convert to fraction form
    65,012.50/97,555.20 = 64,516.78/x
  3. Step 3: Cross multiply
    65,012.50x = 97,555.20 × 64,516.78
  4. Step 4: Simplify right side
    65,012.50x = 6,293,947,376.26
  5. Step 5: Solve for x
    x = 6,293,947,376.26/65,012.50
  6. Step 6: Final answer
    x = 96,811.34

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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.