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Finding the Fourth Proportional to 32,295.94, 48,446.72 and 8,922.40

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Solution

The fourth proportional to 32,295.94, 48,446.72 and 8,922.40 is: 13,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.94 : 48,446.72 = 8,922.40 : x
  2. Step 2: Convert to fraction form
    32,295.94/48,446.72 = 8,922.40/x
  3. Step 3: Cross multiply
    32,295.94x = 48,446.72 × 8,922.40
  4. Step 4: Simplify right side
    32,295.94x = 432,261,014.53
  5. Step 5: Solve for x
    x = 432,261,014.53/32,295.94
  6. Step 6: Final answer
    x = 13,384.38

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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.