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Finding the Fourth Proportional to 32,864, 49,307.52 and 14,397.44

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Solution

The fourth proportional to 32,864, 49,307.52 and 14,397.44 is: 21,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864 : 49,307.52 = 14,397.44 : x
  2. Step 2: Convert to fraction form
    32,864/49,307.52 = 14,397.44/x
  3. Step 3: Cross multiply
    32,864x = 49,307.52 × 14,397.44
  4. Step 4: Simplify right side
    32,864x = 709,902,060.75
  5. Step 5: Solve for x
    x = 709,902,060.75/32,864
  6. Step 6: Final answer
    x = 21,601.21

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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.