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Finding the Fourth Proportional to 32,295.81, 48,443.69 and 8,922.24

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Solution

The fourth proportional to 32,295.81, 48,443.69 and 8,922.24 is: 13,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.81 : 48,443.69 = 8,922.24 : x
  2. Step 2: Convert to fraction form
    32,295.81/48,443.69 = 8,922.24/x
  3. Step 3: Cross multiply
    32,295.81x = 48,443.69 × 8,922.24
  4. Step 4: Simplify right side
    32,295.81x = 432,226,228.67
  5. Step 5: Solve for x
    x = 432,226,228.67/32,295.81
  6. Step 6: Final answer
    x = 13,383.35

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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.