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Finding the Fourth Proportional to 31,201.60, 46,802.40 and 13,652.80

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Solution

The fourth proportional to 31,201.60, 46,802.40 and 13,652.80 is: 20,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.60 : 46,802.40 = 13,652.80 : x
  2. Step 2: Convert to fraction form
    31,201.60/46,802.40 = 13,652.80/x
  3. Step 3: Cross multiply
    31,201.60x = 46,802.40 × 13,652.80
  4. Step 4: Simplify right side
    31,201.60x = 638,983,806.72
  5. Step 5: Solve for x
    x = 638,983,806.72/31,201.60
  6. Step 6: Final answer
    x = 20,479.20

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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.