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Finding the Fourth Proportional to 114,406.48, 171,634.50 and 46,938.67

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Solution

The fourth proportional to 114,406.48, 171,634.50 and 46,938.67 is: 70,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,406.48 : 171,634.50 = 46,938.67 : x
  2. Step 2: Convert to fraction form
    114,406.48/171,634.50 = 46,938.67/x
  3. Step 3: Cross multiply
    114,406.48x = 171,634.50 × 46,938.67
  4. Step 4: Simplify right side
    114,406.48x = 8,056,294,921.42
  5. Step 5: Solve for x
    x = 8,056,294,921.42/114,406.48
  6. Step 6: Final answer
    x = 70,418.17

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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.