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Finding the Fourth Proportional to 76,272, 114,298.98 and 33,526.20

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Solution

The fourth proportional to 76,272, 114,298.98 and 33,526.20 is: 50,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,272 : 114,298.98 = 33,526.20 : x
  2. Step 2: Convert to fraction form
    76,272/114,298.98 = 33,526.20/x
  3. Step 3: Cross multiply
    76,272x = 114,298.98 × 33,526.20
  4. Step 4: Simplify right side
    76,272x = 3,832,010,463.28
  5. Step 5: Solve for x
    x = 3,832,010,463.28/76,272
  6. Step 6: Final answer
    x = 50,241.38

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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.