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Finding the Fourth Proportional to 31,420.29, 47,140.68 and 12,690.68

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Solution

The fourth proportional to 31,420.29, 47,140.68 and 12,690.68 is: 19,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.29 : 47,140.68 = 12,690.68 : x
  2. Step 2: Convert to fraction form
    31,420.29/47,140.68 = 12,690.68/x
  3. Step 3: Cross multiply
    31,420.29x = 47,140.68 × 12,690.68
  4. Step 4: Simplify right side
    31,420.29x = 598,247,494.50
  5. Step 5: Solve for x
    x = 598,247,494.50/31,420.29
  6. Step 6: Final answer
    x = 19,040.17

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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.