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Finding the Fourth Proportional to 52,019.69, 71,786.66 and 28,145.84

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Solution

The fourth proportional to 52,019.69, 71,786.66 and 28,145.84 is: 38,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019.69 : 71,786.66 = 28,145.84 : x
  2. Step 2: Convert to fraction form
    52,019.69/71,786.66 = 28,145.84/x
  3. Step 3: Cross multiply
    52,019.69x = 71,786.66 × 28,145.84
  4. Step 4: Simplify right side
    52,019.69x = 2,020,495,346.83
  5. Step 5: Solve for x
    x = 2,020,495,346.83/52,019.69
  6. Step 6: Final answer
    x = 38,840.98

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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.