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Finding the Fourth Proportional to 52,235.42, 78,351.61 and 14,795.42

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Solution

The fourth proportional to 52,235.42, 78,351.61 and 14,795.42 is: 22,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,235.42 : 78,351.61 = 14,795.42 : x
  2. Step 2: Convert to fraction form
    52,235.42/78,351.61 = 14,795.42/x
  3. Step 3: Cross multiply
    52,235.42x = 78,351.61 × 14,795.42
  4. Step 4: Simplify right side
    52,235.42x = 1,159,244,511.89
  5. Step 5: Solve for x
    x = 1,159,244,511.89/52,235.42
  6. Step 6: Final answer
    x = 22,192.69

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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.