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Finding the Fourth Proportional to 32,000.94, 48,010.32 and 9,815.04

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Solution

The fourth proportional to 32,000.94, 48,010.32 and 9,815.04 is: 14,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.94 : 48,010.32 = 9,815.04 : x
  2. Step 2: Convert to fraction form
    32,000.94/48,010.32 = 9,815.04/x
  3. Step 3: Cross multiply
    32,000.94x = 48,010.32 × 9,815.04
  4. Step 4: Simplify right side
    32,000.94x = 471,223,211.21
  5. Step 5: Solve for x
    x = 471,223,211.21/32,000.94
  6. Step 6: Final answer
    x = 14,725.29

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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.