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Finding the Fourth Proportional to 52,212.09, 72,051.91 and 29,555.38

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Solution

The fourth proportional to 52,212.09, 72,051.91 and 29,555.38 is: 40,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,212.09 : 72,051.91 = 29,555.38 : x
  2. Step 2: Convert to fraction form
    52,212.09/72,051.91 = 29,555.38/x
  3. Step 3: Cross multiply
    52,212.09x = 72,051.91 × 29,555.38
  4. Step 4: Simplify right side
    52,212.09x = 2,129,521,325.76
  5. Step 5: Solve for x
    x = 2,129,521,325.76/52,212.09
  6. Step 6: Final answer
    x = 40,785.98

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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.