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Finding the Fourth Proportional to 52,174.29, 78,210 and 33,400.92

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Solution

The fourth proportional to 52,174.29, 78,210 and 33,400.92 is: 50,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174.29 : 78,210 = 33,400.92 : x
  2. Step 2: Convert to fraction form
    52,174.29/78,210 = 33,400.92/x
  3. Step 3: Cross multiply
    52,174.29x = 78,210 × 33,400.92
  4. Step 4: Simplify right side
    52,174.29x = 2,612,285,953.20
  5. Step 5: Solve for x
    x = 2,612,285,953.20/52,174.29
  6. Step 6: Final answer
    x = 50,068.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.