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Finding the Fourth Proportional to 51,430.56, 77,145.68 and 14,494.56

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Solution

The fourth proportional to 51,430.56, 77,145.68 and 14,494.56 is: 21,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.56 : 77,145.68 = 14,494.56 : x
  2. Step 2: Convert to fraction form
    51,430.56/77,145.68 = 14,494.56/x
  3. Step 3: Cross multiply
    51,430.56x = 77,145.68 × 14,494.56
  4. Step 4: Simplify right side
    51,430.56x = 1,118,192,687.50
  5. Step 5: Solve for x
    x = 1,118,192,687.50/51,430.56
  6. Step 6: Final answer
    x = 21,741.79

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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.