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Finding the Fourth Proportional to 65,150.40, 97,725.60 and 61,521.60

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Solution

The fourth proportional to 65,150.40, 97,725.60 and 61,521.60 is: 92,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150.40 : 97,725.60 = 61,521.60 : x
  2. Step 2: Convert to fraction form
    65,150.40/97,725.60 = 61,521.60/x
  3. Step 3: Cross multiply
    65,150.40x = 97,725.60 × 61,521.60
  4. Step 4: Simplify right side
    65,150.40x = 6,012,235,272.96
  5. Step 5: Solve for x
    x = 6,012,235,272.96/65,150.40
  6. Step 6: Final answer
    x = 92,282.40

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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.