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Finding the Fourth Proportional to 51,613.35, 77,224.35 and 30,564.69

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Solution

The fourth proportional to 51,613.35, 77,224.35 and 30,564.69 is: 45,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,613.35 : 77,224.35 = 30,564.69 : x
  2. Step 2: Convert to fraction form
    51,613.35/77,224.35 = 30,564.69/x
  3. Step 3: Cross multiply
    51,613.35x = 77,224.35 × 30,564.69
  4. Step 4: Simplify right side
    51,613.35x = 2,360,338,318.20
  5. Step 5: Solve for x
    x = 2,360,338,318.20/51,613.35
  6. Step 6: Final answer
    x = 45,731.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.