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Finding the Fourth Proportional to 52,706.84, 72,735.18 and 28,833.08

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Solution

The fourth proportional to 52,706.84, 72,735.18 and 28,833.08 is: 39,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.84 : 72,735.18 = 28,833.08 : x
  2. Step 2: Convert to fraction form
    52,706.84/72,735.18 = 28,833.08/x
  3. Step 3: Cross multiply
    52,706.84x = 72,735.18 × 28,833.08
  4. Step 4: Simplify right side
    52,706.84x = 2,097,179,263.75
  5. Step 5: Solve for x
    x = 2,097,179,263.75/52,706.84
  6. Step 6: Final answer
    x = 39,789.51

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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.