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Finding the Fourth Proportional to 30,278.76, 45,424.94 and 9,220.46

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Solution

The fourth proportional to 30,278.76, 45,424.94 and 9,220.46 is: 13,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.76 : 45,424.94 = 9,220.46 : x
  2. Step 2: Convert to fraction form
    30,278.76/45,424.94 = 9,220.46/x
  3. Step 3: Cross multiply
    30,278.76x = 45,424.94 × 9,220.46
  4. Step 4: Simplify right side
    30,278.76x = 418,838,893.48
  5. Step 5: Solve for x
    x = 418,838,893.48/30,278.76
  6. Step 6: Final answer
    x = 13,832.76

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