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Finding the Fourth Proportional to 31,673.52, 47,502.18 and 11,946.24

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Solution

The fourth proportional to 31,673.52, 47,502.18 and 11,946.24 is: 17,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.52 : 47,502.18 = 11,946.24 : x
  2. Step 2: Convert to fraction form
    31,673.52/47,502.18 = 11,946.24/x
  3. Step 3: Cross multiply
    31,673.52x = 47,502.18 × 11,946.24
  4. Step 4: Simplify right side
    31,673.52x = 567,472,442.80
  5. Step 5: Solve for x
    x = 567,472,442.80/31,673.52
  6. Step 6: Final answer
    x = 17,916.30

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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.