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Finding the Fourth Proportional to 52,706.84, 72,736.80 and 28,834.52

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Solution

The fourth proportional to 52,706.84, 72,736.80 and 28,834.52 is: 39,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.84 : 72,736.80 = 28,834.52 : x
  2. Step 2: Convert to fraction form
    52,706.84/72,736.80 = 28,834.52/x
  3. Step 3: Cross multiply
    52,706.84x = 72,736.80 × 28,834.52
  4. Step 4: Simplify right side
    52,706.84x = 2,097,330,714.34
  5. Step 5: Solve for x
    x = 2,097,330,714.34/52,706.84
  6. Step 6: Final answer
    x = 39,792.38

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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.