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Finding the Fourth Proportional to 65,205.64, 97,847.50 and 28,269.64

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Solution

The fourth proportional to 65,205.64, 97,847.50 and 28,269.64 is: 42,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.64 : 97,847.50 = 28,269.64 : x
  2. Step 2: Convert to fraction form
    65,205.64/97,847.50 = 28,269.64/x
  3. Step 3: Cross multiply
    65,205.64x = 97,847.50 × 28,269.64
  4. Step 4: Simplify right side
    65,205.64x = 2,766,113,599.90
  5. Step 5: Solve for x
    x = 2,766,113,599.90/65,205.64
  6. Step 6: Final answer
    x = 42,421.39

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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.