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Finding the Fourth Proportional to 52,006.32, 71,768.62 and 28,133.04

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Solution

The fourth proportional to 52,006.32, 71,768.62 and 28,133.04 is: 38,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.32 : 71,768.62 = 28,133.04 : x
  2. Step 2: Convert to fraction form
    52,006.32/71,768.62 = 28,133.04/x
  3. Step 3: Cross multiply
    52,006.32x = 71,768.62 × 28,133.04
  4. Step 4: Simplify right side
    52,006.32x = 2,019,069,457.20
  5. Step 5: Solve for x
    x = 2,019,069,457.20/52,006.32
  6. Step 6: Final answer
    x = 38,823.54

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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.