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Finding the Fourth Proportional to 114,323.89, 171,510.90 and 38,419.71

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Solution

The fourth proportional to 114,323.89, 171,510.90 and 38,419.71 is: 57,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,323.89 : 171,510.90 = 38,419.71 : x
  2. Step 2: Convert to fraction form
    114,323.89/171,510.90 = 38,419.71/x
  3. Step 3: Cross multiply
    114,323.89x = 171,510.90 × 38,419.71
  4. Step 4: Simplify right side
    114,323.89x = 6,589,399,039.84
  5. Step 5: Solve for x
    x = 6,589,399,039.84/114,323.89
  6. Step 6: Final answer
    x = 57,637.99

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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.