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Finding the Fourth Proportional to 32,846.76, 49,277.43 and 9,471.38

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Solution

The fourth proportional to 32,846.76, 49,277.43 and 9,471.38 is: 14,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.76 : 49,277.43 = 9,471.38 : x
  2. Step 2: Convert to fraction form
    32,846.76/49,277.43 = 9,471.38/x
  3. Step 3: Cross multiply
    32,846.76x = 49,277.43 × 9,471.38
  4. Step 4: Simplify right side
    32,846.76x = 466,725,264.95
  5. Step 5: Solve for x
    x = 466,725,264.95/32,846.76
  6. Step 6: Final answer
    x = 14,209.17

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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.