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Finding the Fourth Proportional to 76,097.34, 104,998.68 and 52,215.30

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Solution

The fourth proportional to 76,097.34, 104,998.68 and 52,215.30 is: 72,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,097.34 : 104,998.68 = 52,215.30 : x
  2. Step 2: Convert to fraction form
    76,097.34/104,998.68 = 52,215.30/x
  3. Step 3: Cross multiply
    76,097.34x = 104,998.68 × 52,215.30
  4. Step 4: Simplify right side
    76,097.34x = 5,482,537,575.80
  5. Step 5: Solve for x
    x = 5,482,537,575.80/76,097.34
  6. Step 6: Final answer
    x = 72,046.38

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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.