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Finding the Fourth Proportional to 30,556.07, 45,809.45 and 10,823.87

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Solution

The fourth proportional to 30,556.07, 45,809.45 and 10,823.87 is: 16,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.07 : 45,809.45 = 10,823.87 : x
  2. Step 2: Convert to fraction form
    30,556.07/45,809.45 = 10,823.87/x
  3. Step 3: Cross multiply
    30,556.07x = 45,809.45 × 10,823.87
  4. Step 4: Simplify right side
    30,556.07x = 495,835,531.57
  5. Step 5: Solve for x
    x = 495,835,531.57/30,556.07
  6. Step 6: Final answer
    x = 16,227.07

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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.