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Finding the Fourth Proportional to 30,859.76, 46,289.70 and 11,152.23

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Solution

The fourth proportional to 30,859.76, 46,289.70 and 11,152.23 is: 16,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.76 : 46,289.70 = 11,152.23 : x
  2. Step 2: Convert to fraction form
    30,859.76/46,289.70 = 11,152.23/x
  3. Step 3: Cross multiply
    30,859.76x = 46,289.70 × 11,152.23
  4. Step 4: Simplify right side
    30,859.76x = 516,233,381.03
  5. Step 5: Solve for x
    x = 516,233,381.03/30,859.76
  6. Step 6: Final answer
    x = 16,728.37

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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.