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Finding the Fourth Proportional to 30,364.98, 45,561.54 and 11,638.76

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Solution

The fourth proportional to 30,364.98, 45,561.54 and 11,638.76 is: 17,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.98 : 45,561.54 = 11,638.76 : x
  2. Step 2: Convert to fraction form
    30,364.98/45,561.54 = 11,638.76/x
  3. Step 3: Cross multiply
    30,364.98x = 45,561.54 × 11,638.76
  4. Step 4: Simplify right side
    30,364.98x = 530,279,829.29
  5. Step 5: Solve for x
    x = 530,279,829.29/30,364.98
  6. Step 6: Final answer
    x = 17,463.53

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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.