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Finding the Fourth Proportional to 31,085.40, 46,676.70 and 17,963.40

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Solution

The fourth proportional to 31,085.40, 46,676.70 and 17,963.40 is: 26,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.40 : 46,676.70 = 17,963.40 : x
  2. Step 2: Convert to fraction form
    31,085.40/46,676.70 = 17,963.40/x
  3. Step 3: Cross multiply
    31,085.40x = 46,676.70 × 17,963.40
  4. Step 4: Simplify right side
    31,085.40x = 838,472,232.78
  5. Step 5: Solve for x
    x = 838,472,232.78/31,085.40
  6. Step 6: Final answer
    x = 26,973.18

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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.