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Finding the Fourth Proportional to 30,046.60, 45,056.75 and 14,256.14

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Solution

The fourth proportional to 30,046.60, 45,056.75 and 14,256.14 is: 21,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.60 : 45,056.75 = 14,256.14 : x
  2. Step 2: Convert to fraction form
    30,046.60/45,056.75 = 14,256.14/x
  3. Step 3: Cross multiply
    30,046.60x = 45,056.75 × 14,256.14
  4. Step 4: Simplify right side
    30,046.60x = 642,335,092.84
  5. Step 5: Solve for x
    x = 642,335,092.84/30,046.60
  6. Step 6: Final answer
    x = 21,377.96

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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.