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Finding the Fourth Proportional to 114,661.86, 171,986.72 and 35,767.05

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Solution

The fourth proportional to 114,661.86, 171,986.72 and 35,767.05 is: 53,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,661.86 : 171,986.72 = 35,767.05 : x
  2. Step 2: Convert to fraction form
    114,661.86/171,986.72 = 35,767.05/x
  3. Step 3: Cross multiply
    114,661.86x = 171,986.72 × 35,767.05
  4. Step 4: Simplify right side
    114,661.86x = 6,151,457,434.74
  5. Step 5: Solve for x
    x = 6,151,457,434.74/114,661.86
  6. Step 6: Final answer
    x = 53,648.68

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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.