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Finding the Fourth Proportional to 114,432.89, 171,607.20 and 39,533.81

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Solution

The fourth proportional to 114,432.89, 171,607.20 and 39,533.81 is: 59,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432.89 : 171,607.20 = 39,533.81 : x
  2. Step 2: Convert to fraction form
    114,432.89/171,607.20 = 39,533.81/x
  3. Step 3: Cross multiply
    114,432.89x = 171,607.20 × 39,533.81
  4. Step 4: Simplify right side
    114,432.89x = 6,784,286,439.43
  5. Step 5: Solve for x
    x = 6,784,286,439.43/114,432.89
  6. Step 6: Final answer
    x = 59,286.16

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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.