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Finding the Fourth Proportional to 65,284.80, 97,930.56 and 23,730.24

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Solution

The fourth proportional to 65,284.80, 97,930.56 and 23,730.24 is: 35,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284.80 : 97,930.56 = 23,730.24 : x
  2. Step 2: Convert to fraction form
    65,284.80/97,930.56 = 23,730.24/x
  3. Step 3: Cross multiply
    65,284.80x = 97,930.56 × 23,730.24
  4. Step 4: Simplify right side
    65,284.80x = 2,323,915,692.13
  5. Step 5: Solve for x
    x = 2,323,915,692.13/65,284.80
  6. Step 6: Final answer
    x = 35,596.58

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1.5x scale

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.