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Finding the Fourth Proportional to 30,532.92, 45,805.91 and 9,472.50

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Solution

The fourth proportional to 30,532.92, 45,805.91 and 9,472.50 is: 14,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.92 : 45,805.91 = 9,472.50 : x
  2. Step 2: Convert to fraction form
    30,532.92/45,805.91 = 9,472.50/x
  3. Step 3: Cross multiply
    30,532.92x = 45,805.91 × 9,472.50
  4. Step 4: Simplify right side
    30,532.92x = 433,896,596.99
  5. Step 5: Solve for x
    x = 433,896,596.99/30,532.92
  6. Step 6: Final answer
    x = 14,210.78

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1.5x scale

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.