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Finding the Fourth Proportional to 30,532.97, 45,806.02 and 9,472.58

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Solution

The fourth proportional to 30,532.97, 45,806.02 and 9,472.58 is: 14,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.97 : 45,806.02 = 9,472.58 : x
  2. Step 2: Convert to fraction form
    30,532.97/45,806.02 = 9,472.58/x
  3. Step 3: Cross multiply
    30,532.97x = 45,806.02 × 9,472.58
  4. Step 4: Simplify right side
    30,532.97x = 433,901,188.93
  5. Step 5: Solve for x
    x = 433,901,188.93/30,532.97
  6. Step 6: Final answer
    x = 14,210.91

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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.