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Finding the Fourth Proportional to 76,353.39, 105,368.24 and 41,897.88

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Solution

The fourth proportional to 76,353.39, 105,368.24 and 41,897.88 is: 57,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353.39 : 105,368.24 = 41,897.88 : x
  2. Step 2: Convert to fraction form
    76,353.39/105,368.24 = 41,897.88/x
  3. Step 3: Cross multiply
    76,353.39x = 105,368.24 × 41,897.88
  4. Step 4: Simplify right side
    76,353.39x = 4,414,705,875.33
  5. Step 5: Solve for x
    x = 4,414,705,875.33/76,353.39
  6. Step 6: Final answer
    x = 57,819.38

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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.