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Finding the Fourth Proportional to 30,242.49, 45,358.60 and 9,177.45

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Solution

The fourth proportional to 30,242.49, 45,358.60 and 9,177.45 is: 13,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.49 : 45,358.60 = 9,177.45 : x
  2. Step 2: Convert to fraction form
    30,242.49/45,358.60 = 9,177.45/x
  3. Step 3: Cross multiply
    30,242.49x = 45,358.60 × 9,177.45
  4. Step 4: Simplify right side
    30,242.49x = 416,276,283.57
  5. Step 5: Solve for x
    x = 416,276,283.57/30,242.49
  6. Step 6: Final answer
    x = 13,764.62

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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.