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Finding the Fourth Proportional to 30,532.96, 45,805.96 and 9,472.54

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Solution

The fourth proportional to 30,532.96, 45,805.96 and 9,472.54 is: 14,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.96 : 45,805.96 = 9,472.54 : x
  2. Step 2: Convert to fraction form
    30,532.96/45,805.96 = 9,472.54/x
  3. Step 3: Cross multiply
    30,532.96x = 45,805.96 × 9,472.54
  4. Step 4: Simplify right side
    30,532.96x = 433,898,788.34
  5. Step 5: Solve for x
    x = 433,898,788.34/30,532.96
  6. Step 6: Final answer
    x = 14,210.83

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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.