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Finding the Fourth Proportional to 114,502.80, 171,783.48 and 35,617.70

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Solution

The fourth proportional to 114,502.80, 171,783.48 and 35,617.70 is: 53,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,502.80 : 171,783.48 = 35,617.70 : x
  2. Step 2: Convert to fraction form
    114,502.80/171,783.48 = 35,617.70/x
  3. Step 3: Cross multiply
    114,502.80x = 171,783.48 × 35,617.70
  4. Step 4: Simplify right side
    114,502.80x = 6,118,532,455.60
  5. Step 5: Solve for x
    x = 6,118,532,455.60/114,502.80
  6. Step 6: Final answer
    x = 53,435.66

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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.