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Finding the Fourth Proportional to 31,306.63, 46,967.63 and 9,120.21

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Solution

The fourth proportional to 31,306.63, 46,967.63 and 9,120.21 is: 13,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.63 : 46,967.63 = 9,120.21 : x
  2. Step 2: Convert to fraction form
    31,306.63/46,967.63 = 9,120.21/x
  3. Step 3: Cross multiply
    31,306.63x = 46,967.63 × 9,120.21
  4. Step 4: Simplify right side
    31,306.63x = 428,354,603.20
  5. Step 5: Solve for x
    x = 428,354,603.20/31,306.63
  6. Step 6: Final answer
    x = 13,682.55

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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.