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Finding the Fourth Proportional to 30,242.43, 45,348.06 and 13,588.17

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Solution

The fourth proportional to 30,242.43, 45,348.06 and 13,588.17 is: 20,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.43 : 45,348.06 = 13,588.17 : x
  2. Step 2: Convert to fraction form
    30,242.43/45,348.06 = 13,588.17/x
  3. Step 3: Cross multiply
    30,242.43x = 45,348.06 × 13,588.17
  4. Step 4: Simplify right side
    30,242.43x = 616,197,148.45
  5. Step 5: Solve for x
    x = 616,197,148.45/30,242.43
  6. Step 6: Final answer
    x = 20,375.25

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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.