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Finding the Fourth Proportional to 55,308.24, 76,325.76 and 30,157.74

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Solution

The fourth proportional to 55,308.24, 76,325.76 and 30,157.74 is: 41,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,308.24 : 76,325.76 = 30,157.74 : x
  2. Step 2: Convert to fraction form
    55,308.24/76,325.76 = 30,157.74/x
  3. Step 3: Cross multiply
    55,308.24x = 76,325.76 × 30,157.74
  4. Step 4: Simplify right side
    55,308.24x = 2,301,812,425.38
  5. Step 5: Solve for x
    x = 2,301,812,425.38/55,308.24
  6. Step 6: Final answer
    x = 41,617.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.