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Finding the Fourth Proportional to 30,536.84, 45,811.80 and 9,476.42

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Solution

The fourth proportional to 30,536.84, 45,811.80 and 9,476.42 is: 14,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.84 : 45,811.80 = 9,476.42 : x
  2. Step 2: Convert to fraction form
    30,536.84/45,811.80 = 9,476.42/x
  3. Step 3: Cross multiply
    30,536.84x = 45,811.80 × 9,476.42
  4. Step 4: Simplify right side
    30,536.84x = 434,131,857.76
  5. Step 5: Solve for x
    x = 434,131,857.76/30,536.84
  6. Step 6: Final answer
    x = 14,216.66

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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.