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Finding the Fourth Proportional to 31,307.88, 46,960.50 and 9,120.78

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Solution

The fourth proportional to 31,307.88, 46,960.50 and 9,120.78 is: 13,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.88 : 46,960.50 = 9,120.78 : x
  2. Step 2: Convert to fraction form
    31,307.88/46,960.50 = 9,120.78/x
  3. Step 3: Cross multiply
    31,307.88x = 46,960.50 × 9,120.78
  4. Step 4: Simplify right side
    31,307.88x = 428,316,389.19
  5. Step 5: Solve for x
    x = 428,316,389.19/31,307.88
  6. Step 6: Final answer
    x = 13,680.79

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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.