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Finding the Fourth Proportional to 31,057, 46,585.82 and 17,235.08

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Solution

The fourth proportional to 31,057, 46,585.82 and 17,235.08 is: 25,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057 : 46,585.82 = 17,235.08 : x
  2. Step 2: Convert to fraction form
    31,057/46,585.82 = 17,235.08/x
  3. Step 3: Cross multiply
    31,057x = 46,585.82 × 17,235.08
  4. Step 4: Simplify right side
    31,057x = 802,910,334.57
  5. Step 5: Solve for x
    x = 802,910,334.57/31,057
  6. Step 6: Final answer
    x = 25,852.80

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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.