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Finding the Fourth Proportional to 110,715.75, 165,962.60 and 57,377.86

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Solution

The fourth proportional to 110,715.75, 165,962.60 and 57,377.86 is: 86,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,715.75 : 165,962.60 = 57,377.86 : x
  2. Step 2: Convert to fraction form
    110,715.75/165,962.60 = 57,377.86/x
  3. Step 3: Cross multiply
    110,715.75x = 165,962.60 × 57,377.86
  4. Step 4: Simplify right side
    110,715.75x = 9,522,578,126.24
  5. Step 5: Solve for x
    x = 9,522,578,126.24/110,715.75
  6. Step 6: Final answer
    x = 86,009.25

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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.