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Finding the Fourth Proportional to 30,971.68, 46,416.96 and 14,329.60

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Solution

The fourth proportional to 30,971.68, 46,416.96 and 14,329.60 is: 21,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.68 : 46,416.96 = 14,329.60 : x
  2. Step 2: Convert to fraction form
    30,971.68/46,416.96 = 14,329.60/x
  3. Step 3: Cross multiply
    30,971.68x = 46,416.96 × 14,329.60
  4. Step 4: Simplify right side
    30,971.68x = 665,136,470.02
  5. Step 5: Solve for x
    x = 665,136,470.02/30,971.68
  6. Step 6: Final answer
    x = 21,475.63

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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.