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Finding the Fourth Proportional to 52,843.32, 72,931.23 and 32,706.66

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Solution

The fourth proportional to 52,843.32, 72,931.23 and 32,706.66 is: 45,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.32 : 72,931.23 = 32,706.66 : x
  2. Step 2: Convert to fraction form
    52,843.32/72,931.23 = 32,706.66/x
  3. Step 3: Cross multiply
    52,843.32x = 72,931.23 × 32,706.66
  4. Step 4: Simplify right side
    52,843.32x = 2,385,336,942.99
  5. Step 5: Solve for x
    x = 2,385,336,942.99/52,843.32
  6. Step 6: Final answer
    x = 45,139.80

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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.