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Finding the Fourth Proportional to 46,447.68, 69,663.20 and 13,608

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Solution

The fourth proportional to 46,447.68, 69,663.20 and 13,608 is: 20,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,447.68 : 69,663.20 = 13,608 : x
  2. Step 2: Convert to fraction form
    46,447.68/69,663.20 = 13,608/x
  3. Step 3: Cross multiply
    46,447.68x = 69,663.20 × 13,608
  4. Step 4: Simplify right side
    46,447.68x = 947,976,825.60
  5. Step 5: Solve for x
    x = 947,976,825.60/46,447.68
  6. Step 6: Final answer
    x = 20,409.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.