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Finding the Fourth Proportional to 31,206.10, 46,809.15 and 9,020.20

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Solution

The fourth proportional to 31,206.10, 46,809.15 and 9,020.20 is: 13,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.10 : 46,809.15 = 9,020.20 : x
  2. Step 2: Convert to fraction form
    31,206.10/46,809.15 = 9,020.20/x
  3. Step 3: Cross multiply
    31,206.10x = 46,809.15 × 9,020.20
  4. Step 4: Simplify right side
    31,206.10x = 422,227,894.83
  5. Step 5: Solve for x
    x = 422,227,894.83/31,206.10
  6. Step 6: Final answer
    x = 13,530.30

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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.