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Finding the Fourth Proportional to 31,211.72, 46,810.64 and 9,020.24

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Solution

The fourth proportional to 31,211.72, 46,810.64 and 9,020.24 is: 13,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.72 : 46,810.64 = 9,020.24 : x
  2. Step 2: Convert to fraction form
    31,211.72/46,810.64 = 9,020.24/x
  3. Step 3: Cross multiply
    31,211.72x = 46,810.64 × 9,020.24
  4. Step 4: Simplify right side
    31,211.72x = 422,243,207.35
  5. Step 5: Solve for x
    x = 422,243,207.35/31,211.72
  6. Step 6: Final answer
    x = 13,528.35

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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.