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Finding the Fourth Proportional to 32,135.67, 48,205.80 and 9,946.20

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Solution

The fourth proportional to 32,135.67, 48,205.80 and 9,946.20 is: 14,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.67 : 48,205.80 = 9,946.20 : x
  2. Step 2: Convert to fraction form
    32,135.67/48,205.80 = 9,946.20/x
  3. Step 3: Cross multiply
    32,135.67x = 48,205.80 × 9,946.20
  4. Step 4: Simplify right side
    32,135.67x = 479,464,527.96
  5. Step 5: Solve for x
    x = 479,464,527.96/32,135.67
  6. Step 6: Final answer
    x = 14,920.01

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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.