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Finding the Fourth Proportional to 30,529.53, 45,776.64 and 9,463.98

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Solution

The fourth proportional to 30,529.53, 45,776.64 and 9,463.98 is: 14,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,529.53 : 45,776.64 = 9,463.98 : x
  2. Step 2: Convert to fraction form
    30,529.53/45,776.64 = 9,463.98/x
  3. Step 3: Cross multiply
    30,529.53x = 45,776.64 × 9,463.98
  4. Step 4: Simplify right side
    30,529.53x = 433,229,205.43
  5. Step 5: Solve for x
    x = 433,229,205.43/30,529.53
  6. Step 6: Final answer
    x = 14,190.50

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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.