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Finding the Fourth Proportional to 43,386.24, 65,116.80 and 21,216

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Solution

The fourth proportional to 43,386.24, 65,116.80 and 21,216 is: 31,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,386.24 : 65,116.80 = 21,216 : x
  2. Step 2: Convert to fraction form
    43,386.24/65,116.80 = 21,216/x
  3. Step 3: Cross multiply
    43,386.24x = 65,116.80 × 21,216
  4. Step 4: Simplify right side
    43,386.24x = 1,381,518,028.80
  5. Step 5: Solve for x
    x = 1,381,518,028.80/43,386.24
  6. Step 6: Final answer
    x = 31,842.31

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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.