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Finding the Fourth Proportional to 10,032.42, 15,048.60 and 3,012.42

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Solution

The fourth proportional to 10,032.42, 15,048.60 and 3,012.42 is: 4,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.42 : 15,048.60 = 3,012.42 : x
  2. Step 2: Convert to fraction form
    10,032.42/15,048.60 = 3,012.42/x
  3. Step 3: Cross multiply
    10,032.42x = 15,048.60 × 3,012.42
  4. Step 4: Simplify right side
    10,032.42x = 45,332,703.61
  5. Step 5: Solve for x
    x = 45,332,703.61/10,032.42
  6. Step 6: Final answer
    x = 4,518.62

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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.