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Finding the Fourth Proportional to 30,478.23, 45,717.75 and 9,418.01

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Solution

The fourth proportional to 30,478.23, 45,717.75 and 9,418.01 is: 14,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.23 : 45,717.75 = 9,418.01 : x
  2. Step 2: Convert to fraction form
    30,478.23/45,717.75 = 9,418.01/x
  3. Step 3: Cross multiply
    30,478.23x = 45,717.75 × 9,418.01
  4. Step 4: Simplify right side
    30,478.23x = 430,569,998.09
  5. Step 5: Solve for x
    x = 430,569,998.09/30,478.23
  6. Step 6: Final answer
    x = 14,127.13

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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.