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Finding the Fourth Proportional to 114,860.76, 172,294.36 and 31,754.76

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Solution

The fourth proportional to 114,860.76, 172,294.36 and 31,754.76 is: 47,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,860.76 : 172,294.36 = 31,754.76 : x
  2. Step 2: Convert to fraction form
    114,860.76/172,294.36 = 31,754.76/x
  3. Step 3: Cross multiply
    114,860.76x = 172,294.36 × 31,754.76
  4. Step 4: Simplify right side
    114,860.76x = 5,471,166,051.15
  5. Step 5: Solve for x
    x = 5,471,166,051.15/114,860.76
  6. Step 6: Final answer
    x = 47,633.03

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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.