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Finding the Fourth Proportional to 31,742.45, 47,602.73 and 9,549.87

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Solution

The fourth proportional to 31,742.45, 47,602.73 and 9,549.87 is: 14,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.45 : 47,602.73 = 9,549.87 : x
  2. Step 2: Convert to fraction form
    31,742.45/47,602.73 = 9,549.87/x
  3. Step 3: Cross multiply
    31,742.45x = 47,602.73 × 9,549.87
  4. Step 4: Simplify right side
    31,742.45x = 454,599,835.40
  5. Step 5: Solve for x
    x = 454,599,835.40/31,742.45
  6. Step 6: Final answer
    x = 14,321.51

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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.