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Finding the Fourth Proportional to 30,194.18, 45,222.27 and 14,410.29

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Solution

The fourth proportional to 30,194.18, 45,222.27 and 14,410.29 is: 21,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.18 : 45,222.27 = 14,410.29 : x
  2. Step 2: Convert to fraction form
    30,194.18/45,222.27 = 14,410.29/x
  3. Step 3: Cross multiply
    30,194.18x = 45,222.27 × 14,410.29
  4. Step 4: Simplify right side
    30,194.18x = 651,666,025.16
  5. Step 5: Solve for x
    x = 651,666,025.16/30,194.18
  6. Step 6: Final answer
    x = 21,582.51

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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.