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Finding the Fourth Proportional to 31,141.98, 46,715.67 and 8,957.16

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Solution

The fourth proportional to 31,141.98, 46,715.67 and 8,957.16 is: 13,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.98 : 46,715.67 = 8,957.16 : x
  2. Step 2: Convert to fraction form
    31,141.98/46,715.67 = 8,957.16/x
  3. Step 3: Cross multiply
    31,141.98x = 46,715.67 × 8,957.16
  4. Step 4: Simplify right side
    31,141.98x = 418,439,730.70
  5. Step 5: Solve for x
    x = 418,439,730.70/31,141.98
  6. Step 6: Final answer
    x = 13,436.52

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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.