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Finding the Fourth Proportional to 114,598.75, 171,967.25 and 48,934.75

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Solution

The fourth proportional to 114,598.75, 171,967.25 and 48,934.75 is: 73,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,598.75 : 171,967.25 = 48,934.75 : x
  2. Step 2: Convert to fraction form
    114,598.75/171,967.25 = 48,934.75/x
  3. Step 3: Cross multiply
    114,598.75x = 171,967.25 × 48,934.75
  4. Step 4: Simplify right side
    114,598.75x = 8,415,174,142.26
  5. Step 5: Solve for x
    x = 8,415,174,142.26/114,598.75
  6. Step 6: Final answer
    x = 73,431.64

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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.