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Finding the Fourth Proportional to 31,220.62, 46,823.90 and 9,029.06

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Solution

The fourth proportional to 31,220.62, 46,823.90 and 9,029.06 is: 13,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.62 : 46,823.90 = 9,029.06 : x
  2. Step 2: Convert to fraction form
    31,220.62/46,823.90 = 9,029.06/x
  3. Step 3: Cross multiply
    31,220.62x = 46,823.90 × 9,029.06
  4. Step 4: Simplify right side
    31,220.62x = 422,775,802.53
  5. Step 5: Solve for x
    x = 422,775,802.53/31,220.62
  6. Step 6: Final answer
    x = 13,541.56

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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.