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Finding the Fourth Proportional to 114,568.56, 171,830.58 and 57,627.29

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Solution

The fourth proportional to 114,568.56, 171,830.58 and 57,627.29 is: 86,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,568.56 : 171,830.58 = 57,627.29 : x
  2. Step 2: Convert to fraction form
    114,568.56/171,830.58 = 57,627.29/x
  3. Step 3: Cross multiply
    114,568.56x = 171,830.58 × 57,627.29
  4. Step 4: Simplify right side
    114,568.56x = 9,902,130,664.53
  5. Step 5: Solve for x
    x = 9,902,130,664.53/114,568.56
  6. Step 6: Final answer
    x = 86,429.74

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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.