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Finding the Fourth Proportional to 114,310.76, 171,403.49 and 35,403.08

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Solution

The fourth proportional to 114,310.76, 171,403.49 and 35,403.08 is: 53,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,310.76 : 171,403.49 = 35,403.08 : x
  2. Step 2: Convert to fraction form
    114,310.76/171,403.49 = 35,403.08/x
  3. Step 3: Cross multiply
    114,310.76x = 171,403.49 × 35,403.08
  4. Step 4: Simplify right side
    114,310.76x = 6,068,210,700.24
  5. Step 5: Solve for x
    x = 6,068,210,700.24/114,310.76
  6. Step 6: Final answer
    x = 53,085.21

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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.