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Finding the Fourth Proportional to 30,133.35, 45,210.29 and 14,540.31

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Solution

The fourth proportional to 30,133.35, 45,210.29 and 14,540.31 is: 21,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.35 : 45,210.29 = 14,540.31 : x
  2. Step 2: Convert to fraction form
    30,133.35/45,210.29 = 14,540.31/x
  3. Step 3: Cross multiply
    30,133.35x = 45,210.29 × 14,540.31
  4. Step 4: Simplify right side
    30,133.35x = 657,371,559.09
  5. Step 5: Solve for x
    x = 657,371,559.09/30,133.35
  6. Step 6: Final answer
    x = 21,815.42

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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.