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Finding the Fourth Proportional to 82,931.90, 114,446.22 and 47,133.80

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Solution

The fourth proportional to 82,931.90, 114,446.22 and 47,133.80 is: 65,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931.90 : 114,446.22 = 47,133.80 : x
  2. Step 2: Convert to fraction form
    82,931.90/114,446.22 = 47,133.80/x
  3. Step 3: Cross multiply
    82,931.90x = 114,446.22 × 47,133.80
  4. Step 4: Simplify right side
    82,931.90x = 5,394,285,244.24
  5. Step 5: Solve for x
    x = 5,394,285,244.24/82,931.90
  6. Step 6: Final answer
    x = 65,044.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.