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Finding the Fourth Proportional to 30,983.68, 46,437.45 and 14,321.17

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Solution

The fourth proportional to 30,983.68, 46,437.45 and 14,321.17 is: 21,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.68 : 46,437.45 = 14,321.17 : x
  2. Step 2: Convert to fraction form
    30,983.68/46,437.45 = 14,321.17/x
  3. Step 3: Cross multiply
    30,983.68x = 46,437.45 × 14,321.17
  4. Step 4: Simplify right side
    30,983.68x = 665,038,615.82
  5. Step 5: Solve for x
    x = 665,038,615.82/30,983.68
  6. Step 6: Final answer
    x = 21,464.16

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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.