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Finding the Fourth Proportional to 30,313.54, 45,477.33 and 9,536.50

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Solution

The fourth proportional to 30,313.54, 45,477.33 and 9,536.50 is: 14,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.54 : 45,477.33 = 9,536.50 : x
  2. Step 2: Convert to fraction form
    30,313.54/45,477.33 = 9,536.50/x
  3. Step 3: Cross multiply
    30,313.54x = 45,477.33 × 9,536.50
  4. Step 4: Simplify right side
    30,313.54x = 433,694,557.55
  5. Step 5: Solve for x
    x = 433,694,557.55/30,313.54
  6. Step 6: Final answer
    x = 14,306.96

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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.