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Finding the Fourth Proportional to 32,407.76, 44,722.32 and 18,263

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Solution

The fourth proportional to 32,407.76, 44,722.32 and 18,263 is: 25,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.76 : 44,722.32 = 18,263 : x
  2. Step 2: Convert to fraction form
    32,407.76/44,722.32 = 18,263/x
  3. Step 3: Cross multiply
    32,407.76x = 44,722.32 × 18,263
  4. Step 4: Simplify right side
    32,407.76x = 816,763,730.16
  5. Step 5: Solve for x
    x = 816,763,730.16/32,407.76
  6. Step 6: Final answer
    x = 25,202.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.