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Finding the Fourth Proportional to 31,189.46, 46,787.14 and 8,701.63

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Solution

The fourth proportional to 31,189.46, 46,787.14 and 8,701.63 is: 13,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.46 : 46,787.14 = 8,701.63 : x
  2. Step 2: Convert to fraction form
    31,189.46/46,787.14 = 8,701.63/x
  3. Step 3: Cross multiply
    31,189.46x = 46,787.14 × 8,701.63
  4. Step 4: Simplify right side
    31,189.46x = 407,124,381.04
  5. Step 5: Solve for x
    x = 407,124,381.04/31,189.46
  6. Step 6: Final answer
    x = 13,053.27

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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.