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Finding the Fourth Proportional to 32,295.76, 48,443.56 and 8,922.12

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Solution

The fourth proportional to 32,295.76, 48,443.56 and 8,922.12 is: 13,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.76 : 48,443.56 = 8,922.12 : x
  2. Step 2: Convert to fraction form
    32,295.76/48,443.56 = 8,922.12/x
  3. Step 3: Cross multiply
    32,295.76x = 48,443.56 × 8,922.12
  4. Step 4: Simplify right side
    32,295.76x = 432,219,255.55
  5. Step 5: Solve for x
    x = 432,219,255.55/32,295.76
  6. Step 6: Final answer
    x = 13,383.16

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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.