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Finding the Fourth Proportional to 114,767.57, 172,161.27 and 31,661.57

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Solution

The fourth proportional to 114,767.57, 172,161.27 and 31,661.57 is: 47,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,767.57 : 172,161.27 = 31,661.57 : x
  2. Step 2: Convert to fraction form
    114,767.57/172,161.27 = 31,661.57/x
  3. Step 3: Cross multiply
    114,767.57x = 172,161.27 × 31,661.57
  4. Step 4: Simplify right side
    114,767.57x = 5,450,895,082.28
  5. Step 5: Solve for x
    x = 5,450,895,082.28/114,767.57
  6. Step 6: Final answer
    x = 47,495.08

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1.5x scale

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.