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Finding the Fourth Proportional to 31,207.60, 46,818.15 and 9,019.12

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Solution

The fourth proportional to 31,207.60, 46,818.15 and 9,019.12 is: 13,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.60 : 46,818.15 = 9,019.12 : x
  2. Step 2: Convert to fraction form
    31,207.60/46,818.15 = 9,019.12/x
  3. Step 3: Cross multiply
    31,207.60x = 46,818.15 × 9,019.12
  4. Step 4: Simplify right side
    31,207.60x = 422,258,513.03
  5. Step 5: Solve for x
    x = 422,258,513.03/31,207.60
  6. Step 6: Final answer
    x = 13,530.63

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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.