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Finding the Fourth Proportional to 65,149.61, 97,742.90 and 33,582.80

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Solution

The fourth proportional to 65,149.61, 97,742.90 and 33,582.80 is: 50,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.61 : 97,742.90 = 33,582.80 : x
  2. Step 2: Convert to fraction form
    65,149.61/97,742.90 = 33,582.80/x
  3. Step 3: Cross multiply
    65,149.61x = 97,742.90 × 33,582.80
  4. Step 4: Simplify right side
    65,149.61x = 3,282,480,590.43
  5. Step 5: Solve for x
    x = 3,282,480,590.43/65,149.61
  6. Step 6: Final answer
    x = 50,383.74

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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.