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Finding the Fourth Proportional to 32,954.34, 49,439.94 and 9,580.78

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Solution

The fourth proportional to 32,954.34, 49,439.94 and 9,580.78 is: 14,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.34 : 49,439.94 = 9,580.78 : x
  2. Step 2: Convert to fraction form
    32,954.34/49,439.94 = 9,580.78/x
  3. Step 3: Cross multiply
    32,954.34x = 49,439.94 × 9,580.78
  4. Step 4: Simplify right side
    32,954.34x = 473,673,295.06
  5. Step 5: Solve for x
    x = 473,673,295.06/32,954.34
  6. Step 6: Final answer
    x = 14,373.62

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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.