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Finding the Fourth Proportional to 31,207.68, 46,809.70 and 9,020.57

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Solution

The fourth proportional to 31,207.68, 46,809.70 and 9,020.57 is: 13,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.68 : 46,809.70 = 9,020.57 : x
  2. Step 2: Convert to fraction form
    31,207.68/46,809.70 = 9,020.57/x
  3. Step 3: Cross multiply
    31,207.68x = 46,809.70 × 9,020.57
  4. Step 4: Simplify right side
    31,207.68x = 422,249,918.93
  5. Step 5: Solve for x
    x = 422,249,918.93/31,207.68
  6. Step 6: Final answer
    x = 13,530.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.