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Finding the Fourth Proportional to 31,309.29, 46,968.33 and 9,124.29

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Solution

The fourth proportional to 31,309.29, 46,968.33 and 9,124.29 is: 13,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.29 : 46,968.33 = 9,124.29 : x
  2. Step 2: Convert to fraction form
    31,309.29/46,968.33 = 9,124.29/x
  3. Step 3: Cross multiply
    31,309.29x = 46,968.33 × 9,124.29
  4. Step 4: Simplify right side
    31,309.29x = 428,552,663.74
  5. Step 5: Solve for x
    x = 428,552,663.74/31,309.29
  6. Step 6: Final answer
    x = 13,687.72

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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.