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Finding the Fourth Proportional to 114,776.90, 172,175.26 and 31,670.90

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Solution

The fourth proportional to 114,776.90, 172,175.26 and 31,670.90 is: 47,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,776.90 : 172,175.26 = 31,670.90 : x
  2. Step 2: Convert to fraction form
    114,776.90/172,175.26 = 31,670.90/x
  3. Step 3: Cross multiply
    114,776.90x = 172,175.26 × 31,670.90
  4. Step 4: Simplify right side
    114,776.90x = 5,452,945,441.93
  5. Step 5: Solve for x
    x = 5,452,945,441.93/114,776.90
  6. Step 6: Final answer
    x = 47,509.08

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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.