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Finding the Fourth Proportional to 31,290.34, 46,929.03 and 11,555.41

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Solution

The fourth proportional to 31,290.34, 46,929.03 and 11,555.41 is: 17,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.34 : 46,929.03 = 11,555.41 : x
  2. Step 2: Convert to fraction form
    31,290.34/46,929.03 = 11,555.41/x
  3. Step 3: Cross multiply
    31,290.34x = 46,929.03 × 11,555.41
  4. Step 4: Simplify right side
    31,290.34x = 542,284,182.55
  5. Step 5: Solve for x
    x = 542,284,182.55/31,290.34
  6. Step 6: Final answer
    x = 17,330.72

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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.