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Finding the Fourth Proportional to 30,357.50, 45,536.22 and 9,581

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Solution

The fourth proportional to 30,357.50, 45,536.22 and 9,581 is: 14,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.50 : 45,536.22 = 9,581 : x
  2. Step 2: Convert to fraction form
    30,357.50/45,536.22 = 9,581/x
  3. Step 3: Cross multiply
    30,357.50x = 45,536.22 × 9,581
  4. Step 4: Simplify right side
    30,357.50x = 436,282,523.82
  5. Step 5: Solve for x
    x = 436,282,523.82/30,357.50
  6. Step 6: Final answer
    x = 14,371.49

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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.