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Finding the Fourth Proportional to 32,583.12, 48,874.88 and 9,209.76

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Solution

The fourth proportional to 32,583.12, 48,874.88 and 9,209.76 is: 13,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.12 : 48,874.88 = 9,209.76 : x
  2. Step 2: Convert to fraction form
    32,583.12/48,874.88 = 9,209.76/x
  3. Step 3: Cross multiply
    32,583.12x = 48,874.88 × 9,209.76
  4. Step 4: Simplify right side
    32,583.12x = 450,125,914.83
  5. Step 5: Solve for x
    x = 450,125,914.83/32,583.12
  6. Step 6: Final answer
    x = 13,814.70

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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.