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Finding the Fourth Proportional to 52,711.84, 72,742.08 and 28,838.08

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Solution

The fourth proportional to 52,711.84, 72,742.08 and 28,838.08 is: 39,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.84 : 72,742.08 = 28,838.08 : x
  2. Step 2: Convert to fraction form
    52,711.84/72,742.08 = 28,838.08/x
  3. Step 3: Cross multiply
    52,711.84x = 72,742.08 × 28,838.08
  4. Step 4: Simplify right side
    52,711.84x = 2,097,741,922.41
  5. Step 5: Solve for x
    x = 2,097,741,922.41/52,711.84
  6. Step 6: Final answer
    x = 39,796.41

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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.